Pith Number

pith:UEXNTQDX

pith:2012:UEXNTQDXF57DOQMAGTMBLJ7KVJ

not attested not anchored not stored refs pending

Infrared bound and mean-field behaviour in the quantum Ising model

Jakob E. Bj\"ornberg

arxiv:1205.3385 v2 · 2012-05-15 · math.PR · 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{UEXNTQDXF57DOQMAGTMBLJ7KVJ}

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	2026-05-18T01:57:31.969305Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a12ed9c0772f7e37418034d815a7eaaa5bb4e0e542a468836e3326e3890c0118

Aliases

arxiv: 1205.3385 · arxiv_version: 1205.3385v2 · doi: 10.48550/arxiv.1205.3385 · pith_short_12: UEXNTQDXF57D · pith_short_16: UEXNTQDXF57DOQMA · pith_short_8: UEXNTQDX

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/UEXNTQDXF57DOQMAGTMBLJ7KVJ \
  | 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: a12ed9c0772f7e37418034d815a7eaaa5bb4e0e542a468836e3326e3890c0118

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "96cdf6d826b5854030b4ac50347fe4525205070b2f9d3e0200104f4c9fc84f88",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-05-15T14:24:29Z",
    "title_canon_sha256": "88a430c8463deffb33cb940f87d5f617e56a40fe1f176d85ba4fbc5da03f1949"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.3385",
    "kind": "arxiv",
    "version": 2
  }
}