Pith Number

pith:Q65YXEXM

pith:2013:Q65YXEXMMEFGAI4CPFMAZRVE4P

not attested not anchored not stored refs pending

The Riemann-Roch theorem for graphs and the rank in complete graphs

Robert Cori, Yvan Le Borgne

arxiv:1308.5325 v2 · 2013-08-24 · 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{Q65YXEXMMEFGAI4CPFMAZRVE4P}

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	2026-05-18T01:49:56.442264Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

87bb8b92ec610a60238279580cc6a4e3db1fa17a8bf6beeb3e56d2683f1babbe

Aliases

arxiv: 1308.5325 · arxiv_version: 1308.5325v2 · doi: 10.48550/arxiv.1308.5325 · pith_short_12: Q65YXEXMMEFG · pith_short_16: Q65YXEXMMEFGAI4C · pith_short_8: Q65YXEXM

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/Q65YXEXMMEFGAI4CPFMAZRVE4P \
  | 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: 87bb8b92ec610a60238279580cc6a4e3db1fa17a8bf6beeb3e56d2683f1babbe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "537994bc5e11558a785cb572225adcec1d2799c1cf3fe5e5a7046ae84249e0d5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-08-24T13:38:08Z",
    "title_canon_sha256": "654d8200d17561af10c7d66f635628e324ce3d0c4870865dfa186d29a1aabb4f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.5325",
    "kind": "arxiv",
    "version": 2
  }
}