Pith Number

pith:EF37AFWG

pith:2010:EF37AFWGPTKYEAWJVYETHPG7SG

not attested not anchored not stored refs pending

Analysis of the exactness of mean-field theory in long-range interacting systems

Takashi Mori

arxiv:1004.3622 v4 · 2010-04-21 · 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{EF37AFWGPTKYEAWJVYETHPG7SG}

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	2026-05-18T02:24:16.372253Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2177f016c67cd58202c9ae0933bcdf91af353adb9d5d5c81320f25dbbd810091

Aliases

arxiv: 1004.3622 · arxiv_version: 1004.3622v4 · doi: 10.48550/arxiv.1004.3622 · pith_short_12: EF37AFWGPTKY · pith_short_16: EF37AFWGPTKYEAWJ · pith_short_8: EF37AFWG

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/EF37AFWGPTKYEAWJVYETHPG7SG \
  | 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: 2177f016c67cd58202c9ae0933bcdf91af353adb9d5d5c81320f25dbbd810091

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "53130f1439dcb6f740342be6a490d73c6cdb8a6c46c128d0ec8008001bf435f2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2010-04-21T05:32:12Z",
    "title_canon_sha256": "11ae9a8ddc6a34842413db91bb1f58f1c8827a8d12300759e3e048e450b1e08a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1004.3622",
    "kind": "arxiv",
    "version": 4
  }
}