Pith Number

pith:4VJOER5S

pith:2013:4VJOER5SJ22JJLUYBY37HZ3UEJ

not attested not anchored not stored refs pending

Multi-species mean-field spin-glasses. Rigorous results

Adriano Barra, Daniele Tantari, Emanuele Mingione, Pierluigi Contucci

arxiv:1307.5154 v2 · 2013-07-19 · math-ph · cond-mat.dis-nn · cond-mat.stat-mech · 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{4VJOER5SJ22JJLUYBY37HZ3UEJ}

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	2026-05-18T02:54:28.075119Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e552e247b24eb494ae980e37f3e774224e3308d68a9a04d2a4f19861765f6169

Aliases

arxiv: 1307.5154 · arxiv_version: 1307.5154v2 · doi: 10.48550/arxiv.1307.5154 · pith_short_12: 4VJOER5SJ22J · pith_short_16: 4VJOER5SJ22JJLUY · pith_short_8: 4VJOER5S

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/4VJOER5SJ22JJLUYBY37HZ3UEJ \
  | 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: e552e247b24eb494ae980e37f3e774224e3308d68a9a04d2a4f19861765f6169

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c82cdff002cc3d9e76f48ceba184ce6203abca5435913d091517dcdbf62b44eb",
    "cross_cats_sorted": [
      "cond-mat.dis-nn",
      "cond-mat.stat-mech",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2013-07-19T08:13:19Z",
    "title_canon_sha256": "ea99ad628d1745c1b3bc008b740149eb60ebeb810fb55a30f72fe35020ca6c98"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.5154",
    "kind": "arxiv",
    "version": 2
  }
}