Pith Number

pith:ZMD7NWSB

pith:2022:ZMD7NWSBNJWQSBBVOQKEY7HYMQ

not attested not anchored not stored refs pending

Kempe equivalence of almost bipartite graphs

Akihiro Higashitani, Naoki Matsumoto

arxiv:2207.13244 v2 · 2022-07-27 · 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{ZMD7NWSBNJWQSBBVOQKEY7HYMQ}

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	2026-07-05T06:28:13.712273Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cb07f6da416a6d09043574144c7cf8640f0389561fa4ddc386b7c6c194f0ccd6

Aliases

arxiv: 2207.13244 · arxiv_version: 2207.13244v2 · doi: 10.48550/arxiv.2207.13244 · pith_short_12: ZMD7NWSBNJWQ · pith_short_16: ZMD7NWSBNJWQSBBV · pith_short_8: ZMD7NWSB

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/ZMD7NWSBNJWQSBBVOQKEY7HYMQ \
  | 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: cb07f6da416a6d09043574144c7cf8640f0389561fa4ddc386b7c6c194f0ccd6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a9eec2887f37af462aa8f49ceccd07dee5c50cdda9096400e9c0f268abbb41a8",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2022-07-27T02:11:27Z",
    "title_canon_sha256": "29351e62530e02e858d6c0376f02acce430649949427e86c982647a5fa56fb57"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2207.13244",
    "kind": "arxiv",
    "version": 2
  }
}