Pith Number

pith:QSJEL6OP

pith:2010:QSJEL6OPY3ARUJ7UOV2LLYYUEM

not attested not anchored not stored refs pending

Typical Gibbs configurations for the 1d Random Field Ising Model with long range interaction

Enza Orlandi, Marzio Cassandro, Pierre Picco (LATP)

arxiv:1011.6487 v1 · 2010-11-30 · 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{QSJEL6OPY3ARUJ7UOV2LLYYUEM}

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	2026-05-18T02:04:37.395568Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

849245f9cfc6c11a27f47574b5e314232ef7a139198af6c3cabc46a58181221e

Aliases

arxiv: 1011.6487 · arxiv_version: 1011.6487v1 · doi: 10.48550/arxiv.1011.6487 · pith_short_12: QSJEL6OPY3AR · pith_short_16: QSJEL6OPY3ARUJ7U · pith_short_8: QSJEL6OP

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/QSJEL6OPY3ARUJ7UOV2LLYYUEM \
  | 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: 849245f9cfc6c11a27f47574b5e314232ef7a139198af6c3cabc46a58181221e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "37f59c4e40f584d14cc4bc7ece9e13564f80dd3510969cd311f2ccc3e23ba8ab",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2010-11-30T09:02:36Z",
    "title_canon_sha256": "82be7111425c68dac3e41ee3894c040f28f89143f7b72865768dbc76088a260f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.6487",
    "kind": "arxiv",
    "version": 1
  }
}