Pith Number

pith:FUEVX4JQ

pith:2026:FUEVX4JQCMB44XISCPE66TD4JH

not attested not anchored not stored refs pending

On the Collatz Conjecture: Topological and Ergodic Approach

Eduardo Santana

arxiv:2601.03297 v5 · 2026-01-06 · math.DS · math.GN

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FUEVX4JQCMB44XISCPE66TD4JH}

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.

Receipt and verification

First computed	2026-06-19T16:11:19.063653Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2d095bf1301303ce5d1213c9ef4c7c49f2afd5f4d8b69618a2582166aea0ee47

Aliases

arxiv: 2601.03297 · arxiv_version: 2601.03297v5 · doi: 10.48550/arxiv.2601.03297 · pith_short_12: FUEVX4JQCMB4 · pith_short_16: FUEVX4JQCMB44XIS · pith_short_8: FUEVX4JQ

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/FUEVX4JQCMB44XISCPE66TD4JH \
  | 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: 2d095bf1301303ce5d1213c9ef4c7c49f2afd5f4d8b69618a2582166aea0ee47

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7b43340bcad69da642e9c222441050b7a06920eb01c6edc3093ddcd258fa9d13",
    "cross_cats_sorted": [
      "math.GN"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2026-01-06T00:00:01Z",
    "title_canon_sha256": "30c02aacc9a42db5971c3e9df69c239b01503ca41c753966e68163575ad56824"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2601.03297",
    "kind": "arxiv",
    "version": 5
  }
}