Pith Number

pith:BX7XUQ4Z

pith:2010:BX7XUQ4ZUIQ5OZXYOBXECRUSCS

not attested not anchored not stored refs pending

Phase Transition in Ferromagnetic Ising Models with Non-Uniform External Magnetic Fields

Leandro Cioletti, Rodrigo Bissacot

arxiv:1001.3443 v3 · 2010-01-20 · math-ph · 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{BX7XUQ4ZUIQ5OZXYOBXECRUSCS}

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	2026-05-18T00:39:16.368754Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0dff7a4399a221d766f8706e414692148ff5c76dc5e700602caefd3b6f2755d5

Aliases

arxiv: 1001.3443 · arxiv_version: 1001.3443v3 · doi: 10.48550/arxiv.1001.3443 · pith_short_12: BX7XUQ4ZUIQ5 · pith_short_16: BX7XUQ4ZUIQ5OZXY · pith_short_8: BX7XUQ4Z

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/BX7XUQ4ZUIQ5OZXYOBXECRUSCS \
  | 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: 0dff7a4399a221d766f8706e414692148ff5c76dc5e700602caefd3b6f2755d5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c9824ad29a7f9fd6abaa6f17eedd0d1330eb1fbf3491c31504a850fbb0cad32c",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2010-01-20T01:28:19Z",
    "title_canon_sha256": "87d29ceb08e92b2f27434b8258df468419363875d246f7901e74253ef353f03e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1001.3443",
    "kind": "arxiv",
    "version": 3
  }
}