Pith Number

pith:FZODSOZR

pith:2010:FZODSOZRYXJBNJOQNM2DV4YODJ

not attested not anchored not stored refs pending

On bipartite graphs of defect at most 4

(2) Centre for Informatics, Applied Optimization, Australia, Australia), Computer Science, Guillermo Pineda-Villavicencio (2) ((1) School of Electrical Engineering, Ramiro Feria-Pur\'on (1), The University of Newcastle, University of Ballarat

arxiv:1010.5651 v2 · 2010-10-27 · 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{FZODSOZRYXJBNJOQNM2DV4YODJ}

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	2026-05-18T02:52:42.497090Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2e5c393b31c5d216a5d06b343af30e1a65cd02b58402e6898ba7a73152ec3f60

Aliases

arxiv: 1010.5651 · arxiv_version: 1010.5651v2 · doi: 10.48550/arxiv.1010.5651 · pith_short_12: FZODSOZRYXJB · pith_short_16: FZODSOZRYXJBNJOQ · pith_short_8: FZODSOZR

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/FZODSOZRYXJBNJOQNM2DV4YODJ \
  | 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: 2e5c393b31c5d216a5d06b343af30e1a65cd02b58402e6898ba7a73152ec3f60

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "75f759a4c743b6403945797c9183b5510650cb9c51ca13307a5b7ed20271f24c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2010-10-27T11:31:09Z",
    "title_canon_sha256": "ff61246ee6433932256c40d472d0ac985f392797c3fdac4d09f31fbdde64bbac"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.5651",
    "kind": "arxiv",
    "version": 2
  }
}