Pith Number

pith:STPUIVGY

pith:2008:STPUIVGYLH2QRI46PMU3WLQOSV

not attested not anchored not stored refs pending

A Ruelle Operator for continuous time Markov Chains

Alexandre Baraviera, Artur O. Lopes, Ruy Exel

arxiv:0803.2501 v4 · 2008-03-17 · math.DS · 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{STPUIVGYLH2QRI46PMU3WLQOSV}

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	2026-05-18T03:36:05.288164Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

94df4454d859f508a39e7b29bb2e0e957944c6e055d4dacdc14ad0a7ffe6edc3

Aliases

arxiv: 0803.2501 · arxiv_version: 0803.2501v4 · doi: 10.48550/arxiv.0803.2501 · pith_short_12: STPUIVGYLH2Q · pith_short_16: STPUIVGYLH2QRI46 · pith_short_8: STPUIVGY

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/STPUIVGYLH2QRI46PMU3WLQOSV \
  | 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: 94df4454d859f508a39e7b29bb2e0e957944c6e055d4dacdc14ad0a7ffe6edc3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1c16743f233508dc39b47278893823601f11277f62ba26439d2d755aa7f161c3",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2008-03-17T18:34:53Z",
    "title_canon_sha256": "b29e1305280d684f56add4f6bfab71cfb2bb166f42678606f956fb9302cb3192"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0803.2501",
    "kind": "arxiv",
    "version": 4
  }
}