Pith Number

pith:V3FWHYPM

pith:2010:V3FWHYPMWSRZJBEBDS6QH4PLK7

not attested not anchored not stored refs pending

Gibbs-non-Gibbs properties for evolving Ising models on trees

Aernout van Enter, Christof Kuelske, Giulio Iacobelli, Victor Ermolaev

arxiv:1009.2952 v1 · 2010-09-15 · math-ph · math.MP · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{V3FWHYPMWSRZJBEBDS6QH4PLK7}

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	2026-05-18T00:56:58.251361Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aecb63e1ecb4a39484811cbd03f1eb57f68530850657ca0198d0497856cd254c

Aliases

arxiv: 1009.2952 · arxiv_version: 1009.2952v1 · doi: 10.48550/arxiv.1009.2952 · pith_short_12: V3FWHYPMWSRZ · pith_short_16: V3FWHYPMWSRZJBEB · pith_short_8: V3FWHYPM

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/V3FWHYPMWSRZJBEBDS6QH4PLK7 \
  | 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: aecb63e1ecb4a39484811cbd03f1eb57f68530850657ca0198d0497856cd254c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5cecee9a89f811d91f850e5a6dbe25122c64b2cf4a5101c720e28184e1e6a667",
    "cross_cats_sorted": [
      "math.MP",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2010-09-15T15:24:08Z",
    "title_canon_sha256": "78e9d89f9f92a7205c97f6efb770e36d6c793fc85802ba37cb65e3a08f502b8b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.2952",
    "kind": "arxiv",
    "version": 1
  }
}