Pith Number

pith:36WHYSKQ

pith:2015:36WHYSKQJIJ2TLH52K4LEHHURA

not attested not anchored not stored refs pending

A revised Moore bound for mixed graphs

Dominique Buset, Grahame Erskine, Hebert P\'erez-Ros\'es, Mirka Miller, Mourad El Amiri

arxiv:1508.02596 v2 · 2015-08-11 · 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{36WHYSKQJIJ2TLH52K4LEHHURA}

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	2026-05-18T01:15:58.361441Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dfac7c49504a13a9acfdd2b8b21cf488017a6754565d742eeb9b1936c2e4cd81

Aliases

arxiv: 1508.02596 · arxiv_version: 1508.02596v2 · doi: 10.48550/arxiv.1508.02596 · pith_short_12: 36WHYSKQJIJ2 · pith_short_16: 36WHYSKQJIJ2TLH5 · pith_short_8: 36WHYSKQ

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/36WHYSKQJIJ2TLH52K4LEHHURA \
  | 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: dfac7c49504a13a9acfdd2b8b21cf488017a6754565d742eeb9b1936c2e4cd81

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a904551eb7a32b3c055ce242db7f40bfc388eff89f3bc57d35df0a4c8640fbd2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-08-11T13:58:15Z",
    "title_canon_sha256": "c3531194c0671996c65a96e9450d3309db9217310ea45bfa19cf41777ee3ee96"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.02596",
    "kind": "arxiv",
    "version": 2
  }
}