Pith Number

pith:QWNYLU6M

pith:2014:QWNYLU6M2IUDQ65AGDBS5MTWCG

not attested not anchored not stored refs pending

Absence of replica symmetry breaking in the random field Ising model

Sourav Chatterjee

arxiv:1404.7178 v2 · 2014-04-28 · math-ph · math.MP · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QWNYLU6M2IUDQ65AGDBS5MTWCG}

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	2026-05-18T01:43:22.294253Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

859b85d3ccd228387ba030c32eb27611a4e77c85a4ea798b5a498075e2fd65b4

Aliases

arxiv: 1404.7178 · arxiv_version: 1404.7178v2 · doi: 10.48550/arxiv.1404.7178 · pith_short_12: QWNYLU6M2IUD · pith_short_16: QWNYLU6M2IUDQ65A · pith_short_8: QWNYLU6M

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/QWNYLU6M2IUDQ65AGDBS5MTWCG \
  | 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: 859b85d3ccd228387ba030c32eb27611a4e77c85a4ea798b5a498075e2fd65b4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ef419422c6e4d54ddbe1cfb3fb3ba15a78292dcd5f0f8054d0547966c4051175",
    "cross_cats_sorted": [
      "math.MP",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2014-04-28T21:50:29Z",
    "title_canon_sha256": "9ccc82f492cf09287b7c70fc67deaa2178e64cde00ff2833b2592ac3084b5f30"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1404.7178",
    "kind": "arxiv",
    "version": 2
  }
}