Pith Number

pith:224LXM6B

pith:2004:224LXM6BBNXCUYHWN7PFAZSE57

not attested not anchored not stored refs pending

Triangulations of 3-manifolds, hyperbolic relative handlebodies, and Dehn filling

Bruno Martelli, Carlo Petronio, Francois Costantino, Roberto Frigerio

arxiv:math/0402339 v2 · 2004-02-20 · 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{224LXM6BBNXCUYHWN7PFAZSE57}

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	2026-05-18T04:14:06.198858Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d6b8bbb3c10b6e2a60f66fde506644efe1129d9f39487aa1bc3341b63b3e95c7

Aliases

arxiv: math/0402339 · arxiv_version: math/0402339v2 · doi: 10.48550/arxiv.math/0402339 · pith_short_12: 224LXM6BBNXC · pith_short_16: 224LXM6BBNXCUYHW · pith_short_8: 224LXM6B

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/224LXM6BBNXCUYHWN7PFAZSE57 \
  | 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: d6b8bbb3c10b6e2a60f66fde506644efe1129d9f39487aa1bc3341b63b3e95c7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e4961277bb2f2410d2522929a52f8364accde6ae79535bfb21b0687bc39c926d",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.GT",
    "submitted_at": "2004-02-20T17:06:31Z",
    "title_canon_sha256": "3cbff67b06defbd7b734e0ebaead8137b43d7879efbbf1e9ad0bd55bc4e48750"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0402339",
    "kind": "arxiv",
    "version": 2
  }
}