Pith Number

pith:H5N73ENU

pith:2021:H5N73ENUCDZIOEWE36VWKBKYUZ

not attested not anchored not stored refs pending

On the Almeida-Thouless transition line in the Sherrington-Kirkpatrick model with centered Gaussian external field

Wei-Kuo Chen

arxiv:2103.04802 v2 · 2021-03-08 · cond-mat.dis-nn · 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{H5N73ENUCDZIOEWE36VWKBKYUZ}

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.

Cited by

1 paper in Pith

Self-averaging of replica overlaps in the random field Edwards-Anderson model

Receipt and verification

First computed	2026-07-05T03:29:15.652724Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3f5bfd91b410f28712c4dfab650558a66329ac18a6296e0160e94a123b4751eb

Aliases

arxiv: 2103.04802 · arxiv_version: 2103.04802v2 · doi: 10.48550/arxiv.2103.04802 · pith_short_12: H5N73ENUCDZI · pith_short_16: H5N73ENUCDZIOEWE · pith_short_8: H5N73ENU

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/H5N73ENUCDZIOEWE36VWKBKYUZ \
  | 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: 3f5bfd91b410f28712c4dfab650558a66329ac18a6296e0160e94a123b4751eb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "94c29206e86bffea7e59bffeffdf12c17a6b0d55f1626988109189f884494840",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.dis-nn",
    "submitted_at": "2021-03-08T14:53:03Z",
    "title_canon_sha256": "f0fad50a576e00a7c0974e28b914fd711d428fb361b3f938badff96dd933a275"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2103.04802",
    "kind": "arxiv",
    "version": 2
  }
}