Pith Number

pith:UXW7FRVO

pith:2013:UXW7FRVO4YUKWDTDTBDXSAQP7O

not attested not anchored not stored refs pending

Hyperoctahedral Eulerian Idempotents, Hodge Decompositions, and Signed Graph Coloring Complexes

Benjamin Braun, Sarah Crown Rundell

arxiv:1307.7323 v1 · 2013-07-28 · 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{UXW7FRVO4YUKWDTDTBDXSAQP7O}

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	2026-05-18T03:17:23.573606Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a5edf2c6aee628ab0e63984779020ffb9f0eab7923c84ae5859ba6bbc8283d82

Aliases

arxiv: 1307.7323 · arxiv_version: 1307.7323v1 · doi: 10.48550/arxiv.1307.7323 · pith_short_12: UXW7FRVO4YUK · pith_short_16: UXW7FRVO4YUKWDTD · pith_short_8: UXW7FRVO

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/UXW7FRVO4YUKWDTDTBDXSAQP7O \
  | 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: a5edf2c6aee628ab0e63984779020ffb9f0eab7923c84ae5859ba6bbc8283d82

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1253904548598a160127986af0d929d23fb44ca1462c7c22e160428f4f1091d7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-07-28T01:19:55Z",
    "title_canon_sha256": "8a69bb306c5969116f77881e7a6d441dcac2e5bcb12cfbe9796a8d586b364987"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.7323",
    "kind": "arxiv",
    "version": 1
  }
}