Pith Number

pith:4JZAH7VC

pith:2023:4JZAH7VCEFSJ3XPJBPN5EOQPMP

not attested not anchored not stored refs pending

Jensen bound for the entropy production rate in stochastic thermodynamics

David A. Sivak, Matthew P. Leighton

arxiv:2305.11287 v2 · 2023-05-18 · 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{4JZAH7VCEFSJ3XPJBPN5EOQPMP}

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	2026-07-05T07:50:01.442123Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e27203fea221649ddde90bdbd23a0f63d5bb2456bb81276f8083f352a42ff7db

Aliases

arxiv: 2305.11287 · arxiv_version: 2305.11287v2 · doi: 10.48550/arxiv.2305.11287 · pith_short_12: 4JZAH7VCEFSJ · pith_short_16: 4JZAH7VCEFSJ3XPJ · pith_short_8: 4JZAH7VC

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/4JZAH7VCEFSJ3XPJBPN5EOQPMP \
  | 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: e27203fea221649ddde90bdbd23a0f63d5bb2456bb81276f8083f352a42ff7db

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "de436855410f9ca94ef538d507e10470ed11d4efe70f5951eec55fb4a11bd7ac",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2023-05-18T20:12:05Z",
    "title_canon_sha256": "8e75f83ff6395cc9945a8ba6696f2755c60fd85f6111de1da60f264b52052775"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2305.11287",
    "kind": "arxiv",
    "version": 2
  }
}