Pith Number

pith:TXYYJ2PR

pith:2014:TXYYJ2PRO3GYFKSGB36AX22PSH

not attested not anchored not stored refs pending

Duality between Eigenfunctions and Eigendistributions of Ruelle and Koopman operators via an integral kernel

Artur O. Lopes, Paolo Giulietti, Vincent Pit

arxiv:1411.5866 v2 · 2014-11-21 · math.DS · cond-mat.stat-mech · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TXYYJ2PRO3GYFKSGB36AX22PSH}

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	2026-05-18T01:59:38.211132Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9df184e9f176cd82aa460efc0beb4f91c6f23fef787a0e0b33c48fbb704cff8e

Aliases

arxiv: 1411.5866 · arxiv_version: 1411.5866v2 · doi: 10.48550/arxiv.1411.5866 · pith_short_12: TXYYJ2PRO3GY · pith_short_16: TXYYJ2PRO3GYFKSG · pith_short_8: TXYYJ2PR

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/TXYYJ2PRO3GYFKSGB36AX22PSH \
  | 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: 9df184e9f176cd82aa460efc0beb4f91c6f23fef787a0e0b33c48fbb704cff8e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "75569907dec9a94a1b4b38cede0f958c8576b1421fcb2d10a2d836c32bf6d313",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2014-11-21T13:25:46Z",
    "title_canon_sha256": "b4b65731d95557c51fe9b7a429f5825b14f33c72a53ad583b440bd42cf163998"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1411.5866",
    "kind": "arxiv",
    "version": 2
  }
}