Pith Number

pith:UCLW3UUF

pith:2025:UCLW3UUFZ6QOBRYULEKAIWSIBR

not attested not anchored not stored refs pending

On the independent set polynomial of graphs and claw-free graphs

Aldo Procacci, Paula M. S. Fialho

arxiv:2505.22766 v2 · 2025-05-28 · math.CO · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UCLW3UUFZ6QOBRYULEKAIWSIBR}

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	2026-07-05T11:53:27.770615Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a0976dd285cfa0e0c7145914045a480c5779163ead8b8a894616a629ab9b5719

Aliases

arxiv: 2505.22766 · arxiv_version: 2505.22766v2 · doi: 10.48550/arxiv.2505.22766 · pith_short_12: UCLW3UUFZ6QO · pith_short_16: UCLW3UUFZ6QOBRYU · pith_short_8: UCLW3UUF

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/UCLW3UUFZ6QOBRYULEKAIWSIBR \
  | 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: a0976dd285cfa0e0c7145914045a480c5779163ead8b8a894616a629ab9b5719

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c094902dd4a2512f6c6404a857de9e2970c8f79b425885b048281a0716c8fcbc",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2025-05-28T18:34:34Z",
    "title_canon_sha256": "cdee4f11f44ab992384c9c72815ab80f8d00b75a674ef4eb15c5507064f03d87"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2505.22766",
    "kind": "arxiv",
    "version": 2
  }
}