Pith Number

pith:4G2QSBFF

pith:1998:4G2QSBFFOEXZUU77IRZFX565KI

not attested not anchored not stored refs pending

Finite type invariants of 3-manifolds

Paul Melvin, Tim D. Cochran

arxiv:math/9805026 v2 · 1998-05-06 · 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{4G2QSBFFOEXZUU77IRZFX565KI}

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	2026-05-18T01:38:22.860383Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e1b50904a5712f9a53ff44725bf7dd5227bb6b829d2326342b49aab0e5dcc0b0

Aliases

arxiv: math/9805026 · arxiv_version: math/9805026v2 · doi: 10.48550/arxiv.math/9805026 · pith_short_12: 4G2QSBFFOEXZ · pith_short_16: 4G2QSBFFOEXZUU77 · pith_short_8: 4G2QSBFF

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/4G2QSBFFOEXZUU77IRZFX565KI \
  | 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: e1b50904a5712f9a53ff44725bf7dd5227bb6b829d2326342b49aab0e5dcc0b0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c92b5ec5c383948628bb3f4b649d396bcac740e80397029b17b1f27b82982df7",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.GT",
    "submitted_at": "1998-05-06T18:45:33Z",
    "title_canon_sha256": "565027ba60a045feef8b72e68ac27ca6398985500a3e4c31bc0f6d4e4c5b9b1a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9805026",
    "kind": "arxiv",
    "version": 2
  }
}