Pith Number

pith:FNI5FMU4

pith:2017:FNI5FMU4JJHL7FTW4TR3MI6JHR

not attested not anchored not stored refs pending

On the maximum and minimum multiplicative Zagreb indices of graphs with given number of cut edges

Chunxiang Wang, Lin Chen, Shaohui Wang

arxiv:1705.02482 v1 · 2017-05-06 · 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{FNI5FMU4JJHL7FTW4TR3MI6JHR}

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	2026-05-18T00:44:56.415128Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2b51d2b29c4a4ebf9676e4e3b623c93c794b72aa871141d38622cc414fbc390f

Aliases

arxiv: 1705.02482 · arxiv_version: 1705.02482v1 · doi: 10.48550/arxiv.1705.02482 · pith_short_12: FNI5FMU4JJHL · pith_short_16: FNI5FMU4JJHL7FTW · pith_short_8: FNI5FMU4

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/FNI5FMU4JJHL7FTW4TR3MI6JHR \
  | 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: 2b51d2b29c4a4ebf9676e4e3b623c93c794b72aa871141d38622cc414fbc390f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4e96acdee8b3010b505fea7cbcb554d7f78ab3982375653959ea42f57b843e21",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-05-06T13:06:09Z",
    "title_canon_sha256": "df5c6e2360f6337e493cc121bddda0c10ab4e197e670e32dc51efaa14a0b6b2d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1705.02482",
    "kind": "arxiv",
    "version": 1
  }
}