Pith Number

pith:W622CDWJ

pith:2019:W622CDWJAVTM7XMPHRKICMFOXC

not attested not anchored not stored refs pending

Kirchhoff index, multiplicative degree-Kirchhoff index and spanning trees of the linear crossed polyomino chains

Jianping Li, Yingui Pan

arxiv:1905.06565 v1 · 2019-05-16 · 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{W622CDWJAVTM7XMPHRKICMFOXC}

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	2026-05-17T23:46:01.867727Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b7b5a10ec90566cfdd8f3c548130aeb896fd87369c0d56c533b6846a87c79880

Aliases

arxiv: 1905.06565 · arxiv_version: 1905.06565v1 · doi: 10.48550/arxiv.1905.06565 · pith_short_12: W622CDWJAVTM · pith_short_16: W622CDWJAVTM7XMP · pith_short_8: W622CDWJ

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/W622CDWJAVTM7XMPHRKICMFOXC \
  | 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: b7b5a10ec90566cfdd8f3c548130aeb896fd87369c0d56c533b6846a87c79880

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5cf8acdef3c6b925579094b268d34a8c7da9347575ec513fb77392ed2728740e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2019-05-16T07:19:05Z",
    "title_canon_sha256": "b2bc8b8b1bece3695caf68bacd925b001eea9b237ca2f67b748e545476890614"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1905.06565",
    "kind": "arxiv",
    "version": 1
  }
}