Pith Number

pith:YL4TJTXS

pith:2001:YL4TJTXST4GPLLELVLCG3SG5ZJ

not attested not anchored not stored refs pending

Characterizing the Delaunay decompositions of compact hyperbolic surfaces

Gregory Leibon

arxiv:math/0103174 v2 · 2001-03-26 · math.GT · math.DG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YL4TJTXST4GPLLELVLCG3SG5ZJ}

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	2026-05-18T02:38:00.848586Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c2f934cef29f0cf5ac8baac46dc8ddca6e9bff87e12ebef7bbf50d7a8709691a

Aliases

arxiv: math/0103174 · arxiv_version: math/0103174v2 · doi: 10.48550/arxiv.math/0103174 · pith_short_12: YL4TJTXST4GP · pith_short_16: YL4TJTXST4GPLLEL · pith_short_8: YL4TJTXS

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/YL4TJTXST4GPLLELVLCG3SG5ZJ \
  | 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: c2f934cef29f0cf5ac8baac46dc8ddca6e9bff87e12ebef7bbf50d7a8709691a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "59af7c8881cfd461410ca6e309d17b2eae5a487cc7af35c59949e154b789a2b0",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "",
    "primary_cat": "math.GT",
    "submitted_at": "2001-03-26T23:26:55Z",
    "title_canon_sha256": "a08f9711377117c71c071231df1f1ad256f5b0cff5d10ae2ba6622cad820d9f0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0103174",
    "kind": "arxiv",
    "version": 2
  }
}