Pith Number

pith:3QLXZI7G

pith:2019:3QLXZI7GSLSVVSIP66JJHPW76L

not attested not anchored not stored refs pending

Results on resistance distance and Kirchhoff index of graphs with generalized pockets

Qun Liu

arxiv:1901.07547 v1 · 2019-01-22 · 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{3QLXZI7GSLSVVSIP66JJHPW76L}

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	2026-05-17T23:55:42.119097Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dc177ca3e692e55ac90ff79293bedff2fa0907e57906089a6e6dc0608b1bbc8d

Aliases

arxiv: 1901.07547 · arxiv_version: 1901.07547v1 · doi: 10.48550/arxiv.1901.07547 · pith_short_12: 3QLXZI7GSLSV · pith_short_16: 3QLXZI7GSLSVVSIP · pith_short_8: 3QLXZI7G

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/3QLXZI7GSLSVVSIP66JJHPW76L \
  | 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: dc177ca3e692e55ac90ff79293bedff2fa0907e57906089a6e6dc0608b1bbc8d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7bbeeb7bf90f5e0d71844721293e9547a5e8d3d56c1335ca14cdf75adfdbfadf",
    "cross_cats_sorted": [
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2019-01-22T09:21:19Z",
    "title_canon_sha256": "9b8b70a00c86b0097aa42ad68cd01ab7ab0b746d673a97e2005935668f334b84"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1901.07547",
    "kind": "arxiv",
    "version": 1
  }
}