Pith Number

pith:QWQ4YRLM

pith:2013:QWQ4YRLMYWWHMZ7PLI5JDVIRZC

not attested not anchored not stored refs pending

The face vector of a half-open hypersimplex

Hidefumi Ohsugi, Nan Li, Takayuki Hibi

arxiv:1309.5155 v2 · 2013-09-20 · 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{QWQ4YRLMYWWHMZ7PLI5JDVIRZC}

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	2026-05-18T01:21:38.248901Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

85a1cc456cc5ac7667ef5a3a91d511c881584b3173c84b9832e5fca9d43dfa59

Aliases

arxiv: 1309.5155 · arxiv_version: 1309.5155v2 · doi: 10.48550/arxiv.1309.5155 · pith_short_12: QWQ4YRLMYWWH · pith_short_16: QWQ4YRLMYWWHMZ7P · pith_short_8: QWQ4YRLM

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/QWQ4YRLMYWWHMZ7PLI5JDVIRZC \
  | 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: 85a1cc456cc5ac7667ef5a3a91d511c881584b3173c84b9832e5fca9d43dfa59

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cf89f4471a64104ca6fe6ea25ad74be714a81cc549fb1cd4a8c69ddb5277c122",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-09-20T02:05:03Z",
    "title_canon_sha256": "3fb6b49be45c9652cce8464f67959d45b46f06471ebe9d2464449888d6505b10"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.5155",
    "kind": "arxiv",
    "version": 2
  }
}