Pith Number

pith:JJIBBKPZ

pith:2012:JJIBBKPZDRJBLF67N3JVGI4H4S

not attested not anchored not stored refs pending

Entropy production and Kullback-Leibler divergence between stationary trajectories of discrete systems

\'Edgar Rold\'an, Juan M.R. Parrondo

arxiv:1201.5613 v1 · 2012-01-26 · cond-mat.stat-mech

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JJIBBKPZDRJBLF67N3JVGI4H4S}

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	2026-05-18T01:58:41.333628Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4a5010a9f91c521597df6ed3532387e48bc48694c7abdeed71b8c83e580f916e

Aliases

arxiv: 1201.5613 · arxiv_version: 1201.5613v1 · doi: 10.48550/arxiv.1201.5613 · pith_short_12: JJIBBKPZDRJB · pith_short_16: JJIBBKPZDRJBLF67 · pith_short_8: JJIBBKPZ

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/JJIBBKPZDRJBLF67N3JVGI4H4S \
  | 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: 4a5010a9f91c521597df6ed3532387e48bc48694c7abdeed71b8c83e580f916e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9adc9bd6ac7371e3b0738e5310615140cc164a9e6d5ddb03814a3d9bef2a9750",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2012-01-26T19:34:22Z",
    "title_canon_sha256": "953cd2f2ee97b861a1b2eaab5a7df46777b11005d55a699e071724d2f3a8a04f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.5613",
    "kind": "arxiv",
    "version": 1
  }
}