Pith Number

pith:YPADJ34B

pith:2000:YPADJ34BWYV5ODEGUNIN3PVZ5V

not attested not anchored not stored refs pending

Extremal properties for dissections of convex 3-polytopes

Davis), Francisco Santos (Univ. de Cantabria), Fumihiko Takeuchi (Univ. of Tokyo), Jes\'us A. De Loera (Univ. of California

arxiv:math/0012169 v1 · 2000-12-18 · math.CO · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YPADJ34BWYV5ODEGUNIN3PVZ5V}

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	2026-05-18T03:26:53.168452Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c3c034ef81b62bd70c86a350ddbeb9ed7d2108b41ead6997c4e53256f810b46d

Aliases

arxiv: math/0012169 · arxiv_version: math/0012169v1 · doi: 10.48550/arxiv.math/0012169 · pith_short_12: YPADJ34BWYV5 · pith_short_16: YPADJ34BWYV5ODEG · pith_short_8: YPADJ34B

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/YPADJ34BWYV5ODEGUNIN3PVZ5V \
  | 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: c3c034ef81b62bd70c86a350ddbeb9ed7d2108b41ead6997c4e53256f810b46d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1ea5fe6beef80e5d84cda28f5272560a3099572bc00df877580c835081768658",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "",
    "primary_cat": "math.CO",
    "submitted_at": "2000-12-18T23:15:29Z",
    "title_canon_sha256": "8ff24275f658c1429774f9dadd64a486037d7b455f45a133c0005d9928ac7c56"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0012169",
    "kind": "arxiv",
    "version": 1
  }
}