Pith Number

pith:BCNGT33C

pith:2012:BCNGT33CVA3NECA5V6QFZUSRZK

not attested not anchored not stored refs pending

Influence of long-range interactions on the critical behavior of the Ising model

M. A. Rajabpour, Marco Picco, Thibault Blanchard

arxiv:1211.6758 v3 · 2012-11-28 · 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{BCNGT33CVA3NECA5V6QFZUSRZK}

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	2026-05-18T02:47:31.661131Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

089a69ef62a836d2081dafa05cd251caac0395f4c6da611ee9ea186c11d80b85

Aliases

arxiv: 1211.6758 · arxiv_version: 1211.6758v3 · doi: 10.48550/arxiv.1211.6758 · pith_short_12: BCNGT33CVA3N · pith_short_16: BCNGT33CVA3NECA5 · pith_short_8: BCNGT33C

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/BCNGT33CVA3NECA5V6QFZUSRZK \
  | 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: 089a69ef62a836d2081dafa05cd251caac0395f4c6da611ee9ea186c11d80b85

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3bcf1827d349b5e085bf69df4d324897786de6fd76a5ab869e81b9a9f15ebed1",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2012-11-28T21:43:58Z",
    "title_canon_sha256": "fc9f0eb0d0189d94ded74e3bf590529a25b901330635dbe078a3f89e913d2f45"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.6758",
    "kind": "arxiv",
    "version": 3
  }
}