Pith Number

pith:JZ2FX7DZ

pith:2003:JZ2FX7DZ6CCCS4GU6DLK2V5GKW

not attested not anchored not stored refs pending

Construction techniques for cubical complexes, odd cubical 4-polytopes, and prescribed dual manifolds

Alexander Schwartz, Guenter M. Ziegler

arxiv:math/0310269 v3 · 2003-10-17 · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JZ2FX7DZ6CCCS4GU6DLK2V5GKW}

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	2026-07-04T14:37:48.524145Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4e745bfc79f0842970d4f0d6ad57a655939d662a9d210d0b402efe69859cbb27

Aliases

arxiv: math/0310269 · arxiv_version: math/0310269v3 · doi: 10.48550/arxiv.math/0310269 · pith_short_12: JZ2FX7DZ6CCC · pith_short_16: JZ2FX7DZ6CCCS4GU · pith_short_8: JZ2FX7DZ

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/JZ2FX7DZ6CCCS4GU6DLK2V5GKW \
  | 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: 4e745bfc79f0842970d4f0d6ad57a655939d662a9d210d0b402efe69859cbb27

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "87bff99ab131426370f55543150384c3aba2f74a5cc69dbdcab328cb699cfc3b",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.CO",
    "submitted_at": "2003-10-17T14:23:52Z",
    "title_canon_sha256": "3426e478575d21c238966e9f99d13883125b1f382ef21ec58c0a756804946ffa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0310269",
    "kind": "arxiv",
    "version": 3
  }
}