Pith Number

pith:C226DGF3

pith:2015:C226DGF3ES4IORSW6A3HV36QG2

not attested not anchored not stored refs pending

Maximum Kolmogorov-Sinai entropy vs minimum mixing time in Markov chains

Berengere Dubrulle, Davide Faranda, Didier Paillard, Martin Mihelich, Quentin Kral

arxiv:1506.08667 v1 · 2015-05-26 · 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{C226DGF3ES4IORSW6A3HV36QG2}

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	2026-05-18T01:37:43.677067Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

16b5e198bb24b8874656f0367aefd036b2a6ed01462a30422a39471207acffed

Aliases

arxiv: 1506.08667 · arxiv_version: 1506.08667v1 · doi: 10.48550/arxiv.1506.08667 · pith_short_12: C226DGF3ES4I · pith_short_16: C226DGF3ES4IORSW · pith_short_8: C226DGF3

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/C226DGF3ES4IORSW6A3HV36QG2 \
  | 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: 16b5e198bb24b8874656f0367aefd036b2a6ed01462a30422a39471207acffed

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e29b50d39c8ea55cd4419db9be2f903f8840e5ffa117e9a13f6ed5566daf3f6e",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2015-05-26T08:21:30Z",
    "title_canon_sha256": "0bdba13f1a462900ab866c9ece0d2777c14b88c58e9f3f9d2d77ee60b538ea87"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.08667",
    "kind": "arxiv",
    "version": 1
  }
}