Pith Number

pith:KS4ZMWGB

pith:1999:KS4ZMWGBHTPDRHWQXPYQH5NSTR

not attested not anchored not stored refs pending

Small surfaces and Dehn filling

Cameron McA. Gordon

arxiv:math/9911251 v1 · 1999-11-18 · 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{KS4ZMWGBHTPDRHWQXPYQH5NSTR}

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	2026-05-18T01:05:32.426352Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

54b99658c13cde389ed0bbf103f5b29c6c93f2b6266b781246f4bb99f9dcc9bc

Aliases

arxiv: math/9911251 · arxiv_version: math/9911251v1 · doi: 10.48550/arxiv.math/9911251 · pith_short_12: KS4ZMWGBHTPD · pith_short_16: KS4ZMWGBHTPDRHWQ · pith_short_8: KS4ZMWGB

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/KS4ZMWGBHTPDRHWQXPYQH5NSTR \
  | 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: 54b99658c13cde389ed0bbf103f5b29c6c93f2b6266b781246f4bb99f9dcc9bc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bf49f358b802102f41935ee6c753dcc67e13939776a7f82ba5eb4e7dd35ed4c9",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.GT",
    "submitted_at": "1999-11-18T00:00:00Z",
    "title_canon_sha256": "16f3ae8218a619a7d36655071627f01abd127515898f6b56f2bb159ceb2fe7df"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9911251",
    "kind": "arxiv",
    "version": 1
  }
}