Pith Number

pith:JX2XRG3Z

pith:2023:JX2XRG3Z2CM3NJLOUFWBRPXAUO

not attested not anchored not stored refs pending

Using binary string to prove the Collatz conjecture

Jishe Feng

arxiv:2402.00001 v3 · 2023-09-20 · 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{JX2XRG3Z2CM3NJLOUFWBRPXAUO}

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

Adaptive Multimodal Agents-Based Framework for Automatic Workflow Execution

Receipt and verification

First computed	2026-07-05T08:30:07.983786Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4df5789b79d099b6a56ea16c18bee0a3a5d4564a48165b2d1a94f34363620fdd

Aliases

arxiv: 2402.00001 · arxiv_version: 2402.00001v3 · doi: 10.48550/arxiv.2402.00001 · pith_short_12: JX2XRG3Z2CM3 · pith_short_16: JX2XRG3Z2CM3NJLO · pith_short_8: JX2XRG3Z

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/JX2XRG3Z2CM3NJLOUFWBRPXAUO \
  | 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: 4df5789b79d099b6a56ea16c18bee0a3a5d4564a48165b2d1a94f34363620fdd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fb876a558e49bbaac2f4bbeed350f2eeb63fbef1c90eecce5e4d28f164fcdf39",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.GM",
    "submitted_at": "2023-09-20T23:40:40Z",
    "title_canon_sha256": "4c1941b12d8969f2ab07c661cd00bab4f7609e41dbed87d2dc2d01422b7f3161"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2402.00001",
    "kind": "arxiv",
    "version": 3
  }
}