Pith Number

pith:TFWJTJGU

pith:2018:TFWJTJGUNRQM3CTCQJTBAFIZBS

not attested not anchored not stored refs pending

Resistance distance and Kirchhoff index in generalized R-vertex and R-edge corona for graphs

Qun Liu

arxiv:1810.03327 v1 · 2018-10-08 · math.SP · 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{TFWJTJGUNRQM3CTCQJTBAFIZBS}

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	2026-05-18T00:03:51.645016Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

996c99a4d46c60cd8a6282661015190c81d743ca5b64343cd84315f266113b93

Aliases

arxiv: 1810.03327 · arxiv_version: 1810.03327v1 · doi: 10.48550/arxiv.1810.03327 · pith_short_12: TFWJTJGUNRQM · pith_short_16: TFWJTJGUNRQM3CTC · pith_short_8: TFWJTJGU

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/TFWJTJGUNRQM3CTCQJTBAFIZBS \
  | 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: 996c99a4d46c60cd8a6282661015190c81d743ca5b64343cd84315f266113b93

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "69d510e05646d60c56102719c6d9c6a2ccb1dc0b9d693fb8cfb3f30dd6b63999",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2018-10-08T08:54:08Z",
    "title_canon_sha256": "7de190e27fdb16ca8fc94443f3536cc2d0ac1328ff134c0f0a04f88d12c3dee1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1810.03327",
    "kind": "arxiv",
    "version": 1
  }
}