Pith Number

pith:MEZE2QGR

pith:2025:MEZE2QGRUYZK2IIV5PRPINJ4BH

not attested not anchored not stored refs pending

Counting independent sets in percolated graphs via the Ising model

Anna Geisler, Michail Sarantis, Mihyun Kang, Ronen Wdowinski

arxiv:2504.08715 v2 · 2025-04-11 · 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{MEZE2QGRUYZK2IIV5PRPINJ4BH}

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	2026-05-18T02:45:14.181065Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

61324d40d1a632ad2115ebe2f4353c09c9d23a855f6885cf3cca74dd888489f3

Aliases

arxiv: 2504.08715 · arxiv_version: 2504.08715v2 · doi: 10.48550/arxiv.2504.08715 · pith_short_12: MEZE2QGRUYZK · pith_short_16: MEZE2QGRUYZK2IIV · pith_short_8: MEZE2QGR

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/MEZE2QGRUYZK2IIV5PRPINJ4BH \
  | 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: 61324d40d1a632ad2115ebe2f4353c09c9d23a855f6885cf3cca74dd888489f3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "743b75e6c17acce828821879008b96396a421d6af2aaa90cb3e0b0dfc833848c",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2025-04-11T17:26:29Z",
    "title_canon_sha256": "a3b12dc7a9ea9b9e6e0c49e5e7ce6a502660b8ee0c5b8047524f2eae58183a4c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2504.08715",
    "kind": "arxiv",
    "version": 2
  }
}