Pith Number

pith:ZCNLN6WO

pith:2013:ZCNLN6WONYQAUD72TQJSO2QMOE

not attested not anchored not stored refs pending

The number of edges of the edge polytope of a finite simple graph

Akihiro Shikama, Aki Mori, Hidefumi Ohsugi, Takayuki Hibi

arxiv:1308.3530 v4 · 2013-08-16 · 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{ZCNLN6WONYQAUD72TQJSO2QMOE}

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	2026-05-18T00:07:44.203118Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c89ab6face6e200a0ffa9c13276a0c7117dafc264611103159fb85badd75e9cd

Aliases

arxiv: 1308.3530 · arxiv_version: 1308.3530v4 · doi: 10.48550/arxiv.1308.3530 · pith_short_12: ZCNLN6WONYQA · pith_short_16: ZCNLN6WONYQAUD72 · pith_short_8: ZCNLN6WO

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/ZCNLN6WONYQAUD72TQJSO2QMOE \
  | 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: c89ab6face6e200a0ffa9c13276a0c7117dafc264611103159fb85badd75e9cd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8cd6ffb476ba72b49bff2f1b5fa944e4cdfbdd9bc4333279697db52c625d2da0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-08-16T01:01:39Z",
    "title_canon_sha256": "7300e94dbfd7e07e77dc49de6edef3c46684d7963c7a67c1c5042fefb07b2f84"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.3530",
    "kind": "arxiv",
    "version": 4
  }
}