Pith Number

pith:XVCH4M7V

pith:2010:XVCH4M7V4O6NPEAGD2KCOGUNZP

not attested not anchored not stored refs pending

The Merrifield-Simmons conjecture holds for bipartite graphs

Martin Trinks

arxiv:1006.4253 v2 · 2010-06-22 · 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{XVCH4M7V4O6NPEAGD2KCOGUNZP}

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	2026-05-18T03:27:11.719993Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bd447e33f5e3bcd790061e94271a8dcbd83dd33cd61b6c9b894f5e5844d60aff

Aliases

arxiv: 1006.4253 · arxiv_version: 1006.4253v2 · doi: 10.48550/arxiv.1006.4253 · pith_short_12: XVCH4M7V4O6N · pith_short_16: XVCH4M7V4O6NPEAG · pith_short_8: XVCH4M7V

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/XVCH4M7V4O6NPEAGD2KCOGUNZP \
  | 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: bd447e33f5e3bcd790061e94271a8dcbd83dd33cd61b6c9b894f5e5844d60aff

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "04a5d599b9bf0f1243c78a18d09e00377b59017d1c20cad58174434978cbe07a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2010-06-22T10:26:58Z",
    "title_canon_sha256": "b1d5fbe229f431773881d1772226b6f21a79ee03961b6634813ff78ab9e4cd1e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1006.4253",
    "kind": "arxiv",
    "version": 2
  }
}