Pith Number

pith:AXTTOCHB

pith:2010:AXTTOCHBB7NQLZZJHCDB4GHAX6

not attested not anchored not stored refs pending

Low-temperature dynamics of the Curie-Weiss Model: Periodic orbits, multiple histories, and loss of Gibbsianness

Christof Kuelske, Victor Ermolaev

arxiv:1005.0954 v2 · 2010-05-06 · 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{AXTTOCHBB7NQLZZJHCDB4GHAX6}

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	2026-05-18T02:07:42.212015Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

05e73708e10fdb05e72938861e18e0bf8cd01c0dac0a76858eda6550e4206408

Aliases

arxiv: 1005.0954 · arxiv_version: 1005.0954v2 · doi: 10.48550/arxiv.1005.0954 · pith_short_12: AXTTOCHBB7NQ · pith_short_16: AXTTOCHBB7NQLZZJ · pith_short_8: AXTTOCHB

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/AXTTOCHBB7NQLZZJHCDB4GHAX6 \
  | 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: 05e73708e10fdb05e72938861e18e0bf8cd01c0dac0a76858eda6550e4206408

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1f7c300afce091c278ad34b1d95f2b9a1d80be0897902e32e4434c78c7617f7f",
    "cross_cats_sorted": [
      "math.MP",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2010-05-06T09:50:42Z",
    "title_canon_sha256": "735574082c737d915201ef5b14105b558dfe2ce25140529bc930c2220da3db83"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1005.0954",
    "kind": "arxiv",
    "version": 2
  }
}