Pith Number

pith:TXISBL3K

pith:2012:TXISBL3KLHT6YDH6L4JM6ARCPO

not attested not anchored not stored refs pending

Multi-level Dynamical Systems: Connecting the Ruelle Response Theory and the Mori-Zwanzig Approach

Jeroen Wouters, Valerio Lucarini

arxiv:1208.3080 v2 · 2012-08-15 · 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{TXISBL3KLHT6YDH6L4JM6ARCPO}

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	2026-05-18T01:55:15.703505Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9dd120af6a59e7ec0cfe5f12cf02227b8a16ad310f2a8edee45f172089739635

Aliases

arxiv: 1208.3080 · arxiv_version: 1208.3080v2 · doi: 10.48550/arxiv.1208.3080 · pith_short_12: TXISBL3KLHT6 · pith_short_16: TXISBL3KLHT6YDH6 · pith_short_8: TXISBL3K

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/TXISBL3KLHT6YDH6L4JM6ARCPO \
  | 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: 9dd120af6a59e7ec0cfe5f12cf02227b8a16ad310f2a8edee45f172089739635

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0e3d736b6d88e0281bdc7b0246580047fc5a24ab7797d45955c421a55fe0b38e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2012-08-15T10:15:10Z",
    "title_canon_sha256": "aeeac1ba5abf72fe732cb32d1e03333d3187af3295090f6b68a37414478d812a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.3080",
    "kind": "arxiv",
    "version": 2
  }
}