Pith Number

pith:C7NE5NVO

pith:2000:C7NE5NVOTEUEPMMW4OWZPWRTKI

not attested not anchored not stored refs pending

Annular Dehn fillings

Cameron McA. Gordon, Ying-Qing Wu

arxiv:math/0010327 v1 · 2000-10-31 · 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{C7NE5NVOTEUEPMMW4OWZPWRTKI}

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	2026-07-04T14:34:54.035900Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

17da4eb6ae992847b196e3ad97da33522145079d665e99fee4b47df53c33b9a9

Aliases

arxiv: math/0010327 · arxiv_version: math/0010327v1 · doi: 10.48550/arxiv.math/0010327 · pith_short_12: C7NE5NVOTEUE · pith_short_16: C7NE5NVOTEUEPMMW · pith_short_8: C7NE5NVO

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/C7NE5NVOTEUEPMMW4OWZPWRTKI \
  | 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: 17da4eb6ae992847b196e3ad97da33522145079d665e99fee4b47df53c33b9a9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4dfd9a7b37a14d18805ca68744bc0609aac405b958abbebae66b07b6bfd85867",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.GT",
    "submitted_at": "2000-10-31T22:06:14Z",
    "title_canon_sha256": "bdcf3eeeabbcebb703fdaa9d427f175228ff0bb9963a5f21dcd9c7b7b1fa73fd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0010327",
    "kind": "arxiv",
    "version": 1
  }
}