Pith Number

pith:XSV2EMXU

pith:2025:XSV2EMXUU67HG4HBOF2QECUY33

not attested not anchored not stored refs pending

Paradoxical behavior in Collatz sequences

Claude Terracol, Olivier Rozier

arxiv:2502.00948 v5 · 2025-02-02 · math.GM

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XSV2EMXUU67HG4HBOF2QECUY33}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Cited by

1 paper in Pith

Parity vectors and paradoxical sequences in the accelerated Collatz map

Receipt and verification

First computed	2026-05-20T00:04:07.679219Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bcaba232f4a7be7370e17175020a98dec0542d34f96776fc710c75ab3ce96e2f

Aliases

arxiv: 2502.00948 · arxiv_version: 2502.00948v5 · doi: 10.48550/arxiv.2502.00948 · pith_short_12: XSV2EMXUU67H · pith_short_16: XSV2EMXUU67HG4HB · pith_short_8: XSV2EMXU

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/XSV2EMXUU67HG4HBOF2QECUY33 \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: bcaba232f4a7be7370e17175020a98dec0542d34f96776fc710c75ab3ce96e2f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "82c6eb10118d88c44fa71c6d6a63631021da62af7ec157010d4af04e0d6b5f58",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math.GM",
    "submitted_at": "2025-02-02T22:41:21Z",
    "title_canon_sha256": "e1342b8143c49586747b930ccdbea782678472074b4a225a2842cae5a224f4b2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2502.00948",
    "kind": "arxiv",
    "version": 5
  }
}