Pith Number

pith:7GAMZYCS

pith:1996:7GAMZYCSNSDJAK43W7E6CTSD73

not attested not anchored not stored refs pending

The number of faces of a simple polytope

Anders Bj\"orner, Svante Linusson

arxiv:math/9612218 v1 · 1996-12-11 · 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{7GAMZYCSNSDJAK43W7E6CTSD73}

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	2026-05-18T01:05:37.347836Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f980cce0526c86902b9bb7c9e14e43fef55fd8e33d3a622d79b9659eac658436

Aliases

arxiv: math/9612218 · arxiv_version: math/9612218v1 · doi: 10.48550/arxiv.math/9612218 · pith_short_12: 7GAMZYCSNSDJ · pith_short_16: 7GAMZYCSNSDJAK43 · pith_short_8: 7GAMZYCS

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/7GAMZYCSNSDJAK43W7E6CTSD73 \
  | 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: f980cce0526c86902b9bb7c9e14e43fef55fd8e33d3a622d79b9659eac658436

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "68354e20753c7c88c876d284007bfa6a4d92353e887d22fb8c38f4a0e1768bea",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.CO",
    "submitted_at": "1996-12-11T00:00:00Z",
    "title_canon_sha256": "eb0cf081185b3a02dadf75c615dbcab3a94d8f604d7d155e0f61cc63d1ad11e4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9612218",
    "kind": "arxiv",
    "version": 1
  }
}