Pith Number

pith:ZUD4VMXK

pith:2026:ZUD4VMXKEPVH54TIB64JJJHJ6X

not attested not anchored not stored refs pending

Relaxation times of non-reversible Markov processes

Andreas Eberle, Francis L\"orler

arxiv:2607.10801 v1 · 2026-07-12 · math.PR · math.ST · stat.CO · stat.TH

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZUD4VMXKEPVH54TIB64JJJHJ6X}

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	2026-07-14T01:21:40.925669Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cd07cab2ea23ea7ef2680fb894a4e9f5cb5ce8f0bcea810ed7b6e654e6b5cda8

Aliases

arxiv: 2607.10801 · arxiv_version: 2607.10801v1 · doi: 10.48550/arxiv.2607.10801 · pith_short_12: ZUD4VMXKEPVH · pith_short_16: ZUD4VMXKEPVH54TI · pith_short_8: ZUD4VMXK

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/ZUD4VMXKEPVH54TIB64JJJHJ6X \
  | 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: cd07cab2ea23ea7ef2680fb894a4e9f5cb5ce8f0bcea810ed7b6e654e6b5cda8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a03018ae83f97add6fca8c24e39ed2bfdecd3f7fb65f5f6dff84374a6c83c862",
    "cross_cats_sorted": [
      "math.ST",
      "stat.CO",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2026-07-12T15:15:18Z",
    "title_canon_sha256": "a05759fd64117149400ae33ffd6a9611ea1d704dac8a572857c22dbc72cb03c2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.10801",
    "kind": "arxiv",
    "version": 1
  }
}