Pith Number

pith:AEN3DI7I

pith:2018:AEN3DI7I65PKIXN5C425P7MWYZ

not attested not anchored not stored refs pending

Revising and Extending the Linear Response Theory for Statistical Mechanical Systems: Evaluating Observables as Predictors and Predictands

Valerio Lucarini

arxiv:1806.03983 v2 · 2018-06-11 · cond-mat.stat-mech · math.DS · nlin.CD · physics.ao-ph · physics.data-an

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AEN3DI7I65PKIXN5C425P7MWYZ}

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	2026-05-18T00:03:05.335716Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

011bb1a3e8f75ea45dbd1735d7fd96c679a24084f67d92bb5dbe5aad0b1fd8c9

Aliases

arxiv: 1806.03983 · arxiv_version: 1806.03983v2 · doi: 10.48550/arxiv.1806.03983 · pith_short_12: AEN3DI7I65PK · pith_short_16: AEN3DI7I65PKIXN5 · pith_short_8: AEN3DI7I

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/AEN3DI7I65PKIXN5C425P7MWYZ \
  | 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: 011bb1a3e8f75ea45dbd1735d7fd96c679a24084f67d92bb5dbe5aad0b1fd8c9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "48f15d31b02945d8f17d99416d36b487eeba753fa489424730d715a2cb8de8d1",
    "cross_cats_sorted": [
      "math.DS",
      "nlin.CD",
      "physics.ao-ph",
      "physics.data-an"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2018-06-11T13:51:10Z",
    "title_canon_sha256": "3980ed2dc7583489914748dc440b06f4df16668fe7d3e2acdf36e331d6f2d6f2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1806.03983",
    "kind": "arxiv",
    "version": 2
  }
}