Pith Number

pith:BXQEM4VZ

pith:2010:BXQEM4VZBXWD44AIRYIWJ3WSGD

not attested not anchored not stored refs pending

Replica symmetry breaking in mean field spin glasses trough Hamilton-Jacobi technique

Adriano Barra, Aldo Di Biasio, Francesco Guerra

arxiv:1003.5226 v1 · 2010-03-26 · cond-mat.dis-nn · 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{BXQEM4VZBXWD44AIRYIWJ3WSGD}

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	2026-05-18T02:08:16.589273Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0de04672b90dec3e70088e1164eed230fdc73cb46b29ddf9b6e69cce24996e0e

Aliases

arxiv: 1003.5226 · arxiv_version: 1003.5226v1 · doi: 10.48550/arxiv.1003.5226 · pith_short_12: BXQEM4VZBXWD · pith_short_16: BXQEM4VZBXWD44AI · pith_short_8: BXQEM4VZ

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/BXQEM4VZBXWD44AIRYIWJ3WSGD \
  | 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: 0de04672b90dec3e70088e1164eed230fdc73cb46b29ddf9b6e69cce24996e0e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c739cd5d8474440c76c0888a7d0ace557cdba9fa4525aff647088419bc6ab78d",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.dis-nn",
    "submitted_at": "2010-03-26T20:48:20Z",
    "title_canon_sha256": "03e2d81fca6ec43ec63d70cb8ab1a05b0e5f07a0bf8488f53871978d1fb1e231"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1003.5226",
    "kind": "arxiv",
    "version": 1
  }
}