Pith Number

pith:4VE6XLZJ

pith:2013:4VE6XLZJ645PJGSCIEKNCOMDS4

not attested not anchored not stored refs pending

Non-mean-field Critical Exponent in a Mean-field Model : Dynamics versus Statistical Mechanics

Aurelio Patelli, Shun Ogawa, Yoshiyuki Y. Yamaguchi

arxiv:1304.2982 v2 · 2013-04-10 · cond-mat.stat-mech

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4VE6XLZJ645PJGSCIEKNCOMDS4}

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	2026-05-18T02:55:11.410588Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e549ebaf29f73af49a424114d13983970be840876aaac7d4cfc5b18067516db9

Aliases

arxiv: 1304.2982 · arxiv_version: 1304.2982v2 · doi: 10.48550/arxiv.1304.2982 · pith_short_12: 4VE6XLZJ645P · pith_short_16: 4VE6XLZJ645PJGSC · pith_short_8: 4VE6XLZJ

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/4VE6XLZJ645PJGSCIEKNCOMDS4 \
  | 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: e549ebaf29f73af49a424114d13983970be840876aaac7d4cfc5b18067516db9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a1f9af5f90d89312ef2fc1736381a8ca1a57a34299392acd8a85bede3a95d5a9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2013-04-10T14:47:33Z",
    "title_canon_sha256": "9b13881c6de9c5ab14a63b2ac16b5657293bd6b4d475376ba40398782e73da99"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.2982",
    "kind": "arxiv",
    "version": 2
  }
}