Pith Number

pith:QPS7UKLM

pith:2018:QPS7UKLMNWQZGXU6QFHEDAWD66

not attested not anchored not stored refs pending

The resistance distance and Kirchhoff index on quadrilateral graph and pentagonal graph

Qun Liu, Zhongzhi Zhang

arxiv:1812.02304 v1 · 2018-12-04 · math.CO · math.SP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QPS7UKLMNWQZGXU6QFHEDAWD66}

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	2026-05-17T23:58:47.052590Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

83e5fa296c6da1935e9e814e4182c3f782404fc1462e368c667ec3569be3650c

Aliases

arxiv: 1812.02304 · arxiv_version: 1812.02304v1 · doi: 10.48550/arxiv.1812.02304 · pith_short_12: QPS7UKLMNWQZ · pith_short_16: QPS7UKLMNWQZGXU6 · pith_short_8: QPS7UKLM

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/QPS7UKLMNWQZGXU6QFHEDAWD66 \
  | 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: 83e5fa296c6da1935e9e814e4182c3f782404fc1462e368c667ec3569be3650c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "34bffbee378575546590b9ec8d84fed2ef07c6298208aa43a184f010df3b944d",
    "cross_cats_sorted": [
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-12-04T02:27:35Z",
    "title_canon_sha256": "41a1d8bfa5021a12d37f1566346fa1bd015566254d8a70e6ecd045725cfb92ce"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.02304",
    "kind": "arxiv",
    "version": 1
  }
}