Pith Number

pith:775Z7AIN

pith:2012:775Z7AINFGGUDKL3O2FUASEB5C

not attested not anchored not stored refs pending

Alcoved Polytopes II

Alexander Postnikov, Thomas Lam

arxiv:1202.4015 v1 · 2012-02-17 · 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{775Z7AINFGGUDKL3O2FUASEB5C}

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.

Cited by

1 paper in Pith

A geometric proof of the Brenti--Welker identity

Receipt and verification

First computed	2026-05-18T04:02:02.183363Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fffb9f810d298d41a97b768b404881e8b8b7120235c211f44b6f4d3bf1c3dea8

Aliases

arxiv: 1202.4015 · arxiv_version: 1202.4015v1 · doi: 10.48550/arxiv.1202.4015 · pith_short_12: 775Z7AINFGGU · pith_short_16: 775Z7AINFGGUDKL3 · pith_short_8: 775Z7AIN

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/775Z7AINFGGUDKL3O2FUASEB5C \
  | 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: fffb9f810d298d41a97b768b404881e8b8b7120235c211f44b6f4d3bf1c3dea8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0459c6cc0d4b331613a56b9caed18892ed2e37f01f93be6cdb7bd8864aead6c2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-02-17T20:42:10Z",
    "title_canon_sha256": "46b97cd2ae55220920e8c87f220705fe9f3fde4059db2a6329177a26806d7100"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.4015",
    "kind": "arxiv",
    "version": 1
  }
}