Pith Number

pith:DF5ND4W2

pith:2000:DF5ND4W2WW7YBKOADQ443M6QDJ

not attested not anchored not stored refs pending

Mean-field theory of learning: from dynamics to statics

K. Y. Michael Wong, Peixun Luo, S. Li

arxiv:cond-mat/0006251 v1 · 2000-06-15 · cond-mat.dis-nn

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DF5ND4W2WW7YBKOADQ443M6QDJ}

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	2026-07-04T14:17:53.048771Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

197ad1f2dab5bf80a9c01c39cdb3d01a44e30dd75fd0099b5036a4042c1eef5d

Aliases

arxiv: cond-mat/0006251 · arxiv_version: cond-mat/0006251v1 · doi: 10.48550/arxiv.cond-mat/0006251 · pith_short_12: DF5ND4W2WW7Y · pith_short_16: DF5ND4W2WW7YBKOA · pith_short_8: DF5ND4W2

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/DF5ND4W2WW7YBKOADQ443M6QDJ \
  | 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: 197ad1f2dab5bf80a9c01c39cdb3d01a44e30dd75fd0099b5036a4042c1eef5d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "978900614fb7a069dbbd725f3c37a99960a30425403c1be5cf3dd8c6f3306485",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "cond-mat.dis-nn",
    "submitted_at": "2000-06-15T11:38:56Z",
    "title_canon_sha256": "30fbe9c3e7fd06bd53d092c93c9ba22f0f4590aa330af2f700182d5cb0af3054"
  },
  "schema_version": "1.0",
  "source": {
    "id": "cond-mat/0006251",
    "kind": "arxiv",
    "version": 1
  }
}