Pith Number

pith:GG4PPV6T

pith:2026:GG4PPV6TWSSDP4VWXHH52ZBRPG

not attested not anchored not stored refs pending

Decay of correlations and zeros for the hard-core model

Guus Regts, Han Peters, Josias Reppekus

arxiv:2603.17858 v2 · 2026-03-18 · math.PR · math-ph · math.CO · math.CV · 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{GG4PPV6TWSSDP4VWXHH52ZBRPG}

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	2026-06-19T16:09:56.878020Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

31b8f7d7d3b4a437f2b6b9cfdd643179a6d69c8d7a081a6c8f501f9940a9bd9f

Aliases

arxiv: 2603.17858 · arxiv_version: 2603.17858v2 · doi: 10.48550/arxiv.2603.17858 · pith_short_12: GG4PPV6TWSSD · pith_short_16: GG4PPV6TWSSDP4VW · pith_short_8: GG4PPV6T

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/GG4PPV6TWSSDP4VWXHH52ZBRPG \
  | 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: 31b8f7d7d3b4a437f2b6b9cfdd643179a6d69c8d7a081a6c8f501f9940a9bd9f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2eb1eec4dbbebf566a8fe3bb75de866dca7f778d84166b1bddb6923ed552b3dd",
    "cross_cats_sorted": [
      "math-ph",
      "math.CO",
      "math.CV",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2026-03-18T15:45:01Z",
    "title_canon_sha256": "4ca5bf4d058fe6548fbd96b36759ecd6a2d2c40247134de3d4c1854f4771e668"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2603.17858",
    "kind": "arxiv",
    "version": 2
  }
}