Pith Number

pith:AC2OBOKG

pith:2013:AC2OBOKG635YSVSK3IFBWFVVSD

not attested not anchored not stored refs pending

Interval non-edge-colorable bipartite graphs and multigraphs

Hrant H. Khachatrian, Petros A. Petrosyan

arxiv:1301.3811 v2 · 2013-01-16 · math.CO · cs.DM

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AC2OBOKG635YSVSK3IFBWFVVSD}

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	2026-05-18T03:36:05.945480Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

00b4e0b946f6fb89564ada0a1b16b590cef2f2cf3c2c9005ffa8c0d9f1f61a99

Aliases

arxiv: 1301.3811 · arxiv_version: 1301.3811v2 · doi: 10.48550/arxiv.1301.3811 · pith_short_12: AC2OBOKG635Y · pith_short_16: AC2OBOKG635YSVSK · pith_short_8: AC2OBOKG

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/AC2OBOKG635YSVSK3IFBWFVVSD \
  | 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: 00b4e0b946f6fb89564ada0a1b16b590cef2f2cf3c2c9005ffa8c0d9f1f61a99

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "323885b41d299ee550522b0261132ad71c3eb8e65a6a09093ca25eb22f7b7a3b",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://creativecommons.org/licenses/by/3.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-01-16T20:11:07Z",
    "title_canon_sha256": "6e4de66d3dd8f5d0c7316759ecde9889ed6f3bbb3f03c28d0e653f62937ac8d4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.3811",
    "kind": "arxiv",
    "version": 2
  }
}