Pith Number

pith:YGRMDXDL

pith:2007:YGRMDXDLQMWX5FLFVG25FOP2NK

not attested not anchored not stored refs pending

Response Theory for Equilibrium and Non-Equilibrium Statistical Mechanics: Causality and Generalized Kramers-Kronig relations

Valerio Lucarini

arxiv:0710.0958 v1 · 2007-10-04 · cond-mat.stat-mech · cond-mat.str-el · math-ph · math.MP · nlin.CD · physics.flu-dyn

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YGRMDXDLQMWX5FLFVG25FOP2NK}

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	2026-05-18T04:11:29.395753Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c1a2c1dc6b832d7e9565a9b5d2b9fa6a96d0faa134b36ccb19af15d2bdf383e6

Aliases

arxiv: 0710.0958 · arxiv_version: 0710.0958v1 · doi: 10.48550/arxiv.0710.0958 · pith_short_12: YGRMDXDLQMWX · pith_short_16: YGRMDXDLQMWX5FLF · pith_short_8: YGRMDXDL

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/YGRMDXDLQMWX5FLFVG25FOP2NK \
  | 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: c1a2c1dc6b832d7e9565a9b5d2b9fa6a96d0faa134b36ccb19af15d2bdf383e6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f198057a316ff568dec2cf66e740533b7b1314bb947b3f935c595c9ebfa7460d",
    "cross_cats_sorted": [
      "cond-mat.str-el",
      "math-ph",
      "math.MP",
      "nlin.CD",
      "physics.flu-dyn"
    ],
    "license": "",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2007-10-04T09:14:21Z",
    "title_canon_sha256": "a26db6ab3392e97074d0dee2c746ccd3563b8fc93f54da8cb1e2001ab1481e1c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0710.0958",
    "kind": "arxiv",
    "version": 1
  }
}