Pith Number

pith:ZMRYC4EY

pith:2009:ZMRYC4EYDAPRNVV4US4KM4JNPW

not attested not anchored not stored refs pending

A thermodynamic approach to two-variable Ruelle and Selberg zeta functions via the Farey map

Claudio Bonanno, Stefano Isola

arxiv:0907.1471 v4 · 2009-07-09 · math.DS · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZMRYC4EYDAPRNVV4US4KM4JNPW}

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	2026-05-18T04:20:50.072347Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cb23817098181f16d6bca4b8a6712d7dad1f1009de85c8fa1373d439d27ebe35

Aliases

arxiv: 0907.1471 · arxiv_version: 0907.1471v4 · doi: 10.48550/arxiv.0907.1471 · pith_short_12: ZMRYC4EYDAPR · pith_short_16: ZMRYC4EYDAPRNVV4 · pith_short_8: ZMRYC4EY

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/ZMRYC4EYDAPRNVV4US4KM4JNPW \
  | 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: cb23817098181f16d6bca4b8a6712d7dad1f1009de85c8fa1373d439d27ebe35

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c7434e078b8d37a0dfd0d3e408214f3fce720f3c65a6b3365afd98148e58f5c7",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2009-07-09T09:34:15Z",
    "title_canon_sha256": "3180e0f48d6102217492609381566b43e5daad56695bf9e95b547e99c31acc8f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0907.1471",
    "kind": "arxiv",
    "version": 4
  }
}