Pith Number

pith:5RXJVQCR

pith:2001:5RXJVQCRMYDWYTMMZR6J7QGU72

not attested not anchored not stored refs pending

Computing the Face Lattice of a Polytope from its Vertex-Facet Incidences

Marc E. Pfetsch, Volker Kaibel

arxiv:math/0106043 v2 · 2001-06-07 · math.MG · 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{5RXJVQCRMYDWYTMMZR6J7QGU72}

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	2026-07-04T14:35:21.966687Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ec6e9ac05166076c4d8ccc7c9fc0d4feafd6916c8b7ed4994d2435a725c07cb3

Aliases

arxiv: math/0106043 · arxiv_version: math/0106043v2 · doi: 10.48550/arxiv.math/0106043 · pith_short_12: 5RXJVQCRMYDW · pith_short_16: 5RXJVQCRMYDWYTMM · pith_short_8: 5RXJVQCR

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/5RXJVQCRMYDWYTMMZR6J7QGU72 \
  | 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: ec6e9ac05166076c4d8ccc7c9fc0d4feafd6916c8b7ed4994d2435a725c07cb3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5a0a0a565a2ba0a44c7559900fdd213ebee495ccdaec158d88a5d459f29a4e74",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "",
    "primary_cat": "math.MG",
    "submitted_at": "2001-06-07T12:18:18Z",
    "title_canon_sha256": "04eb6e0bb56ae22b9fe459dba96ea89bedaee15438deaa7e00eabf6fb919cd66"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0106043",
    "kind": "arxiv",
    "version": 2
  }
}