Pith Number

pith:WQ26ETSA

pith:2010:WQ26ETSAKNIXRHXUK6VL27REQE

not attested not anchored not stored refs pending

On graphs with cyclic defect or excess

(2) Centre for Informatics, Applied Optimization, Charles Delorme (1), Guillermo Pineda-Villavicencio (2) ((1) Laboratoire de Recherche en Informatique, Universit\'e Paris-Sud, University of Ballarat)

arxiv:1010.5841 v1 · 2010-10-28 · 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{WQ26ETSAKNIXRHXUK6VL27REQE}

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	2026-05-18T02:52:42.484313Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b435e24e405351789ef457aabd7e2481119ace7323f1cd8aa5ab04d1d07963e8

Aliases

arxiv: 1010.5841 · arxiv_version: 1010.5841v1 · doi: 10.48550/arxiv.1010.5841 · pith_short_12: WQ26ETSAKNIX · pith_short_16: WQ26ETSAKNIXRHXU · pith_short_8: WQ26ETSA

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/WQ26ETSAKNIXRHXUK6VL27REQE \
  | 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: b435e24e405351789ef457aabd7e2481119ace7323f1cd8aa5ab04d1d07963e8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6c0ac99e83c9322461612067f034263e8f296e5e822255c7f1e69baf7f6ac796",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2010-10-28T01:59:35Z",
    "title_canon_sha256": "35ec8c5dcbf4d420cf9da31f0a9c9c598a1d3f61e973ee7089b3f9c90db50b8d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.5841",
    "kind": "arxiv",
    "version": 1
  }
}