Pith Number

pith:4WY2MHEZ

pith:2016:4WY2MHEZ2LPBW5CWMQ6B7IK7N7

not attested not anchored not stored refs pending

Fibonacci type presentations and 3-manifolds

Gerald Williams, James Howie

arxiv:1605.06412 v2 · 2016-05-20 · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4WY2MHEZ2LPBW5CWMQ6B7IK7N7}

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	2026-05-18T01:00:53.030439Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e5b1a61c99d2de1b7456643c1fa15f6ff443c94b659bd501ad681897fe31fb48

Aliases

arxiv: 1605.06412 · arxiv_version: 1605.06412v2 · doi: 10.48550/arxiv.1605.06412 · pith_short_12: 4WY2MHEZ2LPB · pith_short_16: 4WY2MHEZ2LPBW5CW · pith_short_8: 4WY2MHEZ

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/4WY2MHEZ2LPBW5CWMQ6B7IK7N7 \
  | 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: e5b1a61c99d2de1b7456643c1fa15f6ff443c94b659bd501ad681897fe31fb48

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "241d9d960814749dc8a006733ac77f8f1b71f524b3afe485ebf3710d1fb7b7d4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2016-05-20T15:55:16Z",
    "title_canon_sha256": "1e28ea7caad84ea1f184cba5a83a0f982969046eb02df4c2eae494dc72e26909"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.06412",
    "kind": "arxiv",
    "version": 2
  }
}