Pith Number

pith:OMVE7NQ2

pith:2004:OMVE7NQ2H2XBD6U3JU5LMJW6TR

not attested not anchored not stored refs pending

Heegaard splittings of graph manifolds

Jennifer Schultens

arxiv:math/0406197 v2 · 2004-06-09 · 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{OMVE7NQ2H2XBD6U3JU5LMJW6TR}

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	2026-05-18T02:38:00.067086Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

732a4fb61a3eae11fa9b4d3ab626de9c5ff9837d2c8719c2c8a66bb1558d4d75

Aliases

arxiv: math/0406197 · arxiv_version: math/0406197v2 · doi: 10.48550/arxiv.math/0406197 · pith_short_12: OMVE7NQ2H2XB · pith_short_16: OMVE7NQ2H2XBD6U3 · pith_short_8: OMVE7NQ2

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/OMVE7NQ2H2XBD6U3JU5LMJW6TR \
  | 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: 732a4fb61a3eae11fa9b4d3ab626de9c5ff9837d2c8719c2c8a66bb1558d4d75

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f17029cd1956c0ecd722f2188bf7f8cc1943a69732e964f7136fb53df311b1a1",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.GT",
    "submitted_at": "2004-06-09T19:38:21Z",
    "title_canon_sha256": "4eb098fabae083bc4ddf00548942b850116e85ed24ed1831521ae02952982360"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0406197",
    "kind": "arxiv",
    "version": 2
  }
}