Pith Number

pith:EN4Q7UAH

pith:2016:EN4Q7UAHMHNPZAMR3YPMSKAUWC

not attested not anchored not stored refs pending

On extremal multiplicative Zagreb indices of trees with given domination number

Chunxiang Wang, Jia-Bao Liu, Shaohui Wang

arxiv:1611.05954 v1 · 2016-11-18 · 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{EN4Q7UAHMHNPZAMR3YPMSKAUWC}

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	2026-05-18T00:57:43.412981Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

23790fd00761dafc8191de1ec92814b099ea870b24b70d90c5410c98e74543f2

Aliases

arxiv: 1611.05954 · arxiv_version: 1611.05954v1 · doi: 10.48550/arxiv.1611.05954 · pith_short_12: EN4Q7UAHMHNP · pith_short_16: EN4Q7UAHMHNPZAMR · pith_short_8: EN4Q7UAH

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/EN4Q7UAHMHNPZAMR3YPMSKAUWC \
  | 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: 23790fd00761dafc8191de1ec92814b099ea870b24b70d90c5410c98e74543f2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5d0e6a8575f0adc2273a3c9166584d5664d913f578aaf1ff11818a0844a134d9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-11-18T02:27:24Z",
    "title_canon_sha256": "af08c46b58b3978fed6f9adb58d3a38dc786523772f229c278a8aaded78ac8cc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.05954",
    "kind": "arxiv",
    "version": 1
  }
}