By not defining “accurate historical texts” as “all texts which do not mention the figure concerned”.
Seriously. Paulkovich, whose research is the subject of this thread, claims to have identified 126 writers of the period (more or less; he takes texts from up to 300 CE) who do not mention Jesus. He includes writers like:
Sulpicia, a first century poet whose entire surviviving oeuvre consists of two lines of erotic verse.
Ptolemy, the second-century mathematician and astronomer (he of the “Ptolemaic solar system”).
Decimus Valerius Asiaticus, a wealthy Roman senator and landowner from Gaul who was sentenced to death for adultery with the mother-in-law of the Emperor Nero. Paulkovich classes him as a historical source because a letter he wrote to the authorities complaining about the theft of a pig has come down to us.
Aelius Theon, known only as the author of exercises for orators.
Soranus, a physician and gynaecologist.
Apollonius Dyscolus, who leaves us four books, one each on syntax, adjectives, conjunctions and pronouns.
Frontinus, who wrote a famous book about aqueducts and another about military strategy.
And so forth. Paulkovich apparently regards it as telling that none of these writers mention Jesus of Nazareth. At the same time he rigorously excludes the many authors writing within his timeframe who do mention Jesus of Nazareth, unless he can argue that the mention of Jesus is an error or an interpolation. He lists the Jewish historian Josephus, for example, as a writer who does not mention Jesus, whereas most historians of the period consider that Josephus does mention Jesus.