Pith Number

pith:GAYAFVPA

pith:2016:GAYAFVPAGJTUL5SF7UCZKY5ZU5

not attested not anchored not stored refs pending

Acceleration of convergence to equilibrium in Markov chains by breaking detailed balance

Johannes Zimmer, Marcus Kaiser, Robert L. Jack

arxiv:1611.06509 v2 · 2016-11-20 · cond-mat.stat-mech · 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{GAYAFVPAGJTUL5SF7UCZKY5ZU5}

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	2026-05-18T00:37:52.724623Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

303002d5e0326745f645fd059563b9a76f15c2585695df9b187e0e9f3b1cca07

Aliases

arxiv: 1611.06509 · arxiv_version: 1611.06509v2 · doi: 10.48550/arxiv.1611.06509 · pith_short_12: GAYAFVPAGJTU · pith_short_16: GAYAFVPAGJTUL5SF · pith_short_8: GAYAFVPA

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/GAYAFVPAGJTUL5SF7UCZKY5ZU5 \
  | 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: 303002d5e0326745f645fd059563b9a76f15c2585695df9b187e0e9f3b1cca07

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ede9fe6b52cc8b7d0edc4e4165b781f0446b68bec8ce46eb0a607bd801fa4876",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2016-11-20T12:34:45Z",
    "title_canon_sha256": "0df0a2e14d50bc8d440a5476fd4d0c34e026881941b5f11e915b841c734f7b61"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.06509",
    "kind": "arxiv",
    "version": 2
  }
}