Pith Number

pith:C2H3QEAG

pith:2004:C2H3QEAG3UGIHSU3OJWAWH6R7J

not attested not anchored not stored refs pending

Links, two-handles, and four-manifolds

Bruno Martelli

arxiv:math/0412511 v4 · 2004-12-28 · 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{C2H3QEAG3UGIHSU3OJWAWH6R7J}

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	2026-05-18T04:14:06.184025Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

168fb81006dd0c83ca9b726c0b1fd1fa547fea92d29fcf885534daf3ce5015a5

Aliases

arxiv: math/0412511 · arxiv_version: math/0412511v4 · doi: 10.48550/arxiv.math/0412511 · pith_short_12: C2H3QEAG3UGI · pith_short_16: C2H3QEAG3UGIHSU3 · pith_short_8: C2H3QEAG

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/C2H3QEAG3UGIHSU3OJWAWH6R7J \
  | 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: 168fb81006dd0c83ca9b726c0b1fd1fa547fea92d29fcf885534daf3ce5015a5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "87bd98583c8fc4594134887b89a173dcaa9eba2b9139e22fceaa6c34e879dc9f",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.GT",
    "submitted_at": "2004-12-28T12:35:32Z",
    "title_canon_sha256": "ff62f5c7d068aeb428b3dbba98ef6b708c0ffcaad0ef51abdc549a6762dfd193"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0412511",
    "kind": "arxiv",
    "version": 4
  }
}