Pith Number

pith:VDEF3XNJ

pith:2012:VDEF3XNJM4PAATEKC2M7NINIII

not attested not anchored not stored refs pending

Critical behavior of the Ising model with long range interactions

Marco Picco (LPTHE)

arxiv:1207.1018 v1 · 2012-07-04 · cond-mat.stat-mech · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VDEF3XNJM4PAATEKC2M7NINIII}

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	2026-05-18T03:51:46.850280Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a8c85ddda9671e004c8a1699f6a1a842381dec939234d85951787fda0d5e3af8

Aliases

arxiv: 1207.1018 · arxiv_version: 1207.1018v1 · doi: 10.48550/arxiv.1207.1018 · pith_short_12: VDEF3XNJM4PA · pith_short_16: VDEF3XNJM4PAATEK · pith_short_8: VDEF3XNJ

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/VDEF3XNJM4PAATEKC2M7NINIII \
  | 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: a8c85ddda9671e004c8a1699f6a1a842381dec939234d85951787fda0d5e3af8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fb03d10b5a6c5b4d75bf08d3f9be901cfaffc2aeb0acbf7a38b746e22cbbdec9",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2012-07-04T15:08:36Z",
    "title_canon_sha256": "582fc6f294cd487508b48f53f2713401d9324f942fc73e9444df83166ec505af"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.1018",
    "kind": "arxiv",
    "version": 1
  }
}