Pith Number

pith:2Q4A4VNU

pith:2019:2Q4A4VNUX5T4SIJARFRZRRJ7UI

not attested not anchored not stored refs pending

Minimum Power to Maintain a Nonequilibrium Distribution of a Markov Chain

Dmitri S. Pavlichin, Tsachy Weissman, Yihui Quek

arxiv:1907.01582 v1 · 2019-07-02 · cond-mat.stat-mech · cs.IT · math.IT · physics.bio-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2Q4A4VNUX5T4SIJARFRZRRJ7UI}

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	2026-05-17T23:41:35.882436Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d4380e55b4bf67c92120896398c53fa2061115d0ee08208336647ff457cf53b4

Aliases

arxiv: 1907.01582 · arxiv_version: 1907.01582v1 · doi: 10.48550/arxiv.1907.01582 · pith_short_12: 2Q4A4VNUX5T4 · pith_short_16: 2Q4A4VNUX5T4SIJA · pith_short_8: 2Q4A4VNU

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/2Q4A4VNUX5T4SIJARFRZRRJ7UI \
  | 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: d4380e55b4bf67c92120896398c53fa2061115d0ee08208336647ff457cf53b4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f303391c29d575ebd2008071b7cf3b4921058b412cc64097bf843fe4ce6284cd",
    "cross_cats_sorted": [
      "cs.IT",
      "math.IT",
      "physics.bio-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2019-07-02T18:39:38Z",
    "title_canon_sha256": "b23d91874021e6a8071beac8ca11db802bf6fa71bb76fd7c8a7ed0bb1e5d76e5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.01582",
    "kind": "arxiv",
    "version": 1
  }
}