Pith Number

pith:ZJNOCN4Q

pith:2018:ZJNOCN4QIAVKXW7467CLGE2XLH

not attested not anchored not stored refs pending

A New [Combinatorial] Proof of the Commutativity of Matching Polynomials for Cycles

Andrew Herring, Corbin Groothuis, Eric Stucky, Garner Cochran, Ranjan Rohatgi

arxiv:1810.05889 v1 · 2018-10-13 · 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{ZJNOCN4QIAVKXW7467CLGE2XLH}

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	2026-05-18T00:03:26.686201Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ca5ae13790402aabdbfcf7c4b3135759c1485b17b4f64157c0f162021aaf1e98

Aliases

arxiv: 1810.05889 · arxiv_version: 1810.05889v1 · doi: 10.48550/arxiv.1810.05889 · pith_short_12: ZJNOCN4QIAVK · pith_short_16: ZJNOCN4QIAVKXW74 · pith_short_8: ZJNOCN4Q

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/ZJNOCN4QIAVKXW7467CLGE2XLH \
  | 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: ca5ae13790402aabdbfcf7c4b3135759c1485b17b4f64157c0f162021aaf1e98

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "843f2935b9c4f15d7ac1bc35bb6e682a7216562d2867c7ae7df8c5159c610656",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-10-13T16:47:58Z",
    "title_canon_sha256": "c4908aeadf1a3efc9b5a7ef91d56ebb6ab323bbae6a1f4c0608c714d3a99e62f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1810.05889",
    "kind": "arxiv",
    "version": 1
  }
}