Pith Number

pith:RS3LTZZ6

pith:2013:RS3LTZZ6FCZTSEKI2TWZ77OKLO

not attested not anchored not stored refs pending

New bounds of degree-based topological indices for some classes of $c$-cyclic graphs

Alessandra Cornaro, Anna Torriero, Jos\'e Luis Palacios, Monica Bianchi

arxiv:1311.5691 v1 · 2013-11-22 · math.CO · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RS3LTZZ6FCZTSEKI2TWZ77OKLO}

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	2026-05-18T02:20:20.038279Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8cb6b9e73e28b3391148d4ed9ffdca5bb8b26c19c161553ee7295ca4698bf5b9

Aliases

arxiv: 1311.5691 · arxiv_version: 1311.5691v1 · doi: 10.48550/arxiv.1311.5691 · pith_short_12: RS3LTZZ6FCZT · pith_short_16: RS3LTZZ6FCZTSEKI · pith_short_8: RS3LTZZ6

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/RS3LTZZ6FCZTSEKI2TWZ77OKLO \
  | 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: 8cb6b9e73e28b3391148d4ed9ffdca5bb8b26c19c161553ee7295ca4698bf5b9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6ca95c46adf0c4bb59088543a646dfa929a2ebe7eb6a8920f685172f1657e060",
    "cross_cats_sorted": [
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-11-22T10:04:55Z",
    "title_canon_sha256": "3db6d4e529e66e02f8a09b8448e2c1c63ce98ace424073ffac86bea2cdd3aa58"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.5691",
    "kind": "arxiv",
    "version": 1
  }
}