Pith Number

pith:7F6U6RYJ

pith:2016:7F6U6RYJDC72GSZ6GVSDJFEUSO

not attested not anchored not stored refs pending

Bounds on the Quenched Pressure and Main Eigenvalue of the Ruelle Operator for Brownian Type Potentials

L. Chiarini, L. Cioletti

arxiv:1603.00857 v3 · 2016-03-02 · math.DS · math-ph · math.MP · 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{7F6U6RYJDC72GSZ6GVSDJFEUSO}

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	2026-05-18T01:11:58.995222Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f97d4f470918bfa34b3e3564349494938d17998d8ce2eb0f40feac5b1641c514

Aliases

arxiv: 1603.00857 · arxiv_version: 1603.00857v3 · doi: 10.48550/arxiv.1603.00857 · pith_short_12: 7F6U6RYJDC72 · pith_short_16: 7F6U6RYJDC72GSZ6 · pith_short_8: 7F6U6RYJ

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/7F6U6RYJDC72GSZ6GVSDJFEUSO \
  | 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: f97d4f470918bfa34b3e3564349494938d17998d8ce2eb0f40feac5b1641c514

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c2691bd1a88f5e9cb210c625f6872c7c86fd9c11bab1e4a6ddfd5d6f0612392f",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "math.PR"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2016-03-02T20:34:12Z",
    "title_canon_sha256": "ce7262a6546eaf2de3f840e4c478d40fd4d1c6dfcf833776fa1e007a4c80c8d0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.00857",
    "kind": "arxiv",
    "version": 3
  }
}