Pith Number

pith:ZR2Y3NI3

pith:2014:ZR2Y3NI3TPTLRSTS6LGW2VEJGP

not attested not anchored not stored refs pending

The Merrifield-Simmons conjecture also holds for parity graphs

Martin Trinks

arxiv:1401.1596 v1 · 2014-01-08 · 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{ZR2Y3NI3TPTLRSTS6LGW2VEJGP}

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	2026-05-18T03:02:58.465898Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cc758db51b9be6b8ca72f2cd6d548933c8cb0dab4fb300e841711a2ce321cb1c

Aliases

arxiv: 1401.1596 · arxiv_version: 1401.1596v1 · doi: 10.48550/arxiv.1401.1596 · pith_short_12: ZR2Y3NI3TPTL · pith_short_16: ZR2Y3NI3TPTLRSTS · pith_short_8: ZR2Y3NI3

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/ZR2Y3NI3TPTLRSTS6LGW2VEJGP \
  | 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: cc758db51b9be6b8ca72f2cd6d548933c8cb0dab4fb300e841711a2ce321cb1c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "094e8dcccc565e4dc642c6ac35d9038ccf00487b51080054d39634fb280ea3d9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-01-08T08:11:33Z",
    "title_canon_sha256": "5c42d0f039cc8be44183af112d8c59fb3f64ecf2fe682927176838629e43b17a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1401.1596",
    "kind": "arxiv",
    "version": 1
  }
}