Pith Number

pith:7H4ZOCCS

pith:2019:7H4ZOCCSBLDC5EKTDWDRSAH3KQ

not attested not anchored not stored refs pending

Resistance distance-based graph invariants and spanning trees of graphs derived from the strong product of $P_2$ and $C_n$

Jianping Li, Yingui Pan

arxiv:1906.04339 v1 · 2019-06-11 · 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{7H4ZOCCSBLDC5EKTDWDRSAH3KQ}

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	2026-05-17T23:43:39.623605Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f9f99708520ac62e91531d871900fb5405aba5fe035d34f13d81c49af2842779

Aliases

arxiv: 1906.04339 · arxiv_version: 1906.04339v1 · doi: 10.48550/arxiv.1906.04339 · pith_short_12: 7H4ZOCCSBLDC · pith_short_16: 7H4ZOCCSBLDC5EKT · pith_short_8: 7H4ZOCCS

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/7H4ZOCCSBLDC5EKTDWDRSAH3KQ \
  | 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: f9f99708520ac62e91531d871900fb5405aba5fe035d34f13d81c49af2842779

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "533fde2b5d302fa97bb825944379f0a8f66b2726e790370e6cfd566bd9b719f2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2019-06-11T01:24:32Z",
    "title_canon_sha256": "a7c0ae492e02fa3ca8af3db6cbb84f587d8550076e4e619263ed3b0844070c36"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1906.04339",
    "kind": "arxiv",
    "version": 1
  }
}