Pith Number

pith:WLZSTL4W

pith:2014:WLZSTL4WG44FSNWO26EHECR7QQ

not attested not anchored not stored refs pending

Phase Transitions in Ferromagnetic Ising Models with spatially dependent magnetic fields

Errico Presutti, Leandro Cioletti, Marzio Cassandro, Rodrigo Bissacot

arxiv:1403.7961 v3 · 2014-03-31 · 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{WLZSTL4WG44FSNWO26EHECR7QQ}

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	2026-05-18T01:43:43.774312Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b2f329af9637385936ced788720a3f84120ec7e97e17271eb869ffbc2dc48c09

Aliases

arxiv: 1403.7961 · arxiv_version: 1403.7961v3 · doi: 10.48550/arxiv.1403.7961 · pith_short_12: WLZSTL4WG44F · pith_short_16: WLZSTL4WG44FSNWO · pith_short_8: WLZSTL4W

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/WLZSTL4WG44FSNWO26EHECR7QQ \
  | 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: b2f329af9637385936ced788720a3f84120ec7e97e17271eb869ffbc2dc48c09

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "46c9ae2f5a0eb86f2276a7730d267545304143168171f9104279557a7b3f10b9",
    "cross_cats_sorted": [
      "math.MP",
      "math.PR"
    ],
    "license": "http://creativecommons.org/licenses/by/3.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2014-03-31T11:59:18Z",
    "title_canon_sha256": "3cc799de921ee4286edc716619ebf064875e2735b22bc0136c5ee85f54c33f91"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1403.7961",
    "kind": "arxiv",
    "version": 3
  }
}