Pith Number

pith:4D5CNW3A

pith:2004:4D5CNW3AM4OYIYJUFLJ5XDYDHV

not attested not anchored not stored refs pending

Cugliandolo-Kurchan equations for dynamics of Spin-Glasses

Alice Guionnet, Amir Dembo, Gerard Ben Arous

arxiv:math/0409273 v1 · 2004-09-16 · math.PR · cond-mat.stat-mech · 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{4D5CNW3AM4OYIYJUFLJ5XDYDHV}

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.

Cited by

1 paper in Pith

Adaptive kernel predictors from feature-learning infinite limits of neural networks

Receipt and verification

First computed	2026-07-04T14:39:04.286718Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e0fa26db60671d8461342ad3db8f033d417fdd832dc914e8d8bfab84928863f6

Aliases

arxiv: math/0409273 · arxiv_version: math/0409273v1 · doi: 10.48550/arxiv.math/0409273 · pith_short_12: 4D5CNW3AM4OY · pith_short_16: 4D5CNW3AM4OYIYJU · pith_short_8: 4D5CNW3A

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/4D5CNW3AM4OYIYJUFLJ5XDYDHV \
  | 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: e0fa26db60671d8461342ad3db8f033d417fdd832dc914e8d8bfab84928863f6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6206ba497f4c8650c0fddeb5da63b19942460cbe0c0b80234aff305f856e9322",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "math-ph",
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math.PR",
    "submitted_at": "2004-09-16T08:48:31Z",
    "title_canon_sha256": "002dd604aac883e4d9b376a6ba77f09a197aa1f777c1f3f3fa6766f90ea174c2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0409273",
    "kind": "arxiv",
    "version": 1
  }
}