Pith. sign in

REVIEW 1 cited by

The 3x+1 Problem: An Annotated Bibliography, II (2000-2009)

Not yet reviewed by Pith; the record is open.

Re-run · record.json Download PDF Read on arXiv ↗

This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.

SPECIMEN: schema-true, not a live event

T0 review · schema-true

One-sentence machine reading of the paper's core claim.

pith:XXXXXXXX · record.json · timestamp

arxiv math/0608208 v6 pith:H4GCPCWY submitted 2006-08-09 math.NT math.DS

Jeffrey C. Lagarias This is my paper · ORCID
classification math.NTmath.DS
keywords problemannotatedbibliographyconjectureintegerassertsconcernscovering
verification ladder T0 review T1 audit T2 compute T3 formal
0 comments
read the original abstract

The 3x+1 problem concerns iteration of the map T(n) =(3n+1)/2 if n odd; n/2 if n even. The 3x +1 Conjecture asserts that for every positive integer n>1 the forward orbit of n includes the integer 1. This paper is an annotated bibliography of work done on the 3x+1 problem published from 2000 through 2009, plus some later papers that were preprints by 2009. This is a sequel to an annotated bibliography on the 3x+1 problem covering 1963-1999. At present the 3x+1 Conjecture remains unsolved.

Discussion (0). Continue with ORCID to comment.

Forward citations

Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Iteration Steps of 3x+1 Problem

    math.GM 2025-06 reject novelty 4.0 of 10

    Under the unproven Weak Residue Conjecture, the paper derives six logarithm formulas linking total, odd, and even step counts of a Collatz trajectory, one of which is equivalent to the conjecture itself.

Pith tools