Pith Number

pith:BA72XWI2

pith:2012:BA72XWI2VKFXFHBNWHYQ5BQPOD

not attested not anchored not stored refs pending

A computational mechanics approach to estimate entropy and (approximate) complexity for the dynamics of the 2D Ising Ferromagnet

A. K. Hartmann, O. Melchert

arxiv:1206.7032 v1 · 2012-06-29 · cond-mat.stat-mech · physics.comp-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BA72XWI2VKFXFHBNWHYQ5BQPOD}

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	2026-05-18T03:52:13.163229Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

083fabd91aaa8b729c2db1f10e860f70e71dcd2bb8160270fb0aaabab7a8ce65

Aliases

arxiv: 1206.7032 · arxiv_version: 1206.7032v1 · doi: 10.48550/arxiv.1206.7032 · pith_short_12: BA72XWI2VKFX · pith_short_16: BA72XWI2VKFXFHBN · pith_short_8: BA72XWI2

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/BA72XWI2VKFXFHBNWHYQ5BQPOD \
  | 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: 083fabd91aaa8b729c2db1f10e860f70e71dcd2bb8160270fb0aaabab7a8ce65

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9655a767ed3b0f83bb48a561f69709fb1d56025899389757096ebedc3e8216fd",
    "cross_cats_sorted": [
      "physics.comp-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2012-06-29T13:59:03Z",
    "title_canon_sha256": "19e3decc6dc3a79e82637dd9e23220cb1634a5e089df7ccb8ec4f4d55b06f806"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.7032",
    "kind": "arxiv",
    "version": 1
  }
}