Pith Number

pith:7M3ABGNU

pith:2000:7M3ABGNU5YIMEH3F3N6JTZLNJY

not attested not anchored not stored refs pending

Homology TQFT's and the Alexander-Reidemeister Invariant of 3-Manifolds via Hopf Algebras and Skein Theory

Thomas Kerler

arxiv:math/0008204 v4 · 2000-08-28 · math.GT · math.AG · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7M3ABGNU5YIMEH3F3N6JTZLNJY}

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	2026-05-18T03:22:06.719400Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fb360099b4ee10c21f65db7c99e56d4e013b74afce18929c8c6267d9da43eade

Aliases

arxiv: math/0008204 · arxiv_version: math/0008204v4 · doi: 10.48550/arxiv.math/0008204 · pith_short_12: 7M3ABGNU5YIM · pith_short_16: 7M3ABGNU5YIMEH3F · pith_short_8: 7M3ABGNU

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/7M3ABGNU5YIMEH3F3N6JTZLNJY \
  | 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: fb360099b4ee10c21f65db7c99e56d4e013b74afce18929c8c6267d9da43eade

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ec19c20d73a5be9bba47eb20efc138f39102d8e5f13767182f84b5ce052d07df",
    "cross_cats_sorted": [
      "math.AG",
      "math.QA"
    ],
    "license": "",
    "primary_cat": "math.GT",
    "submitted_at": "2000-08-28T15:30:33Z",
    "title_canon_sha256": "40096ac35e4ce9e902633a90bb2a2d970869881d2bd1bb05c4df4fe5cc3de61b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0008204",
    "kind": "arxiv",
    "version": 4
  }
}