Pith Number

pith:5ZPBAN5D

pith:2025:5ZPBAN5DM5YI4ASAZ5DNICXIDM

not attested not anchored not stored refs pending

Optimizing optimal transport: Role of final distributions in finite-time thermodynamics

Kaito Tojo, Ken Funo, Rihito Nagase, Takahiro Sagawa

arxiv:2509.11314 v2 · 2025-09-14 · 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{5ZPBAN5DM5YI4ASAZ5DNICXIDM}

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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.

Cited by

1 paper in Pith

Geometric decomposition of information flow: New insights into information thermodynamics

Receipt and verification

First computed	2026-07-31T01:08:37.958208Z
Builder	pith-number-builder-2026-05-17-v1
Signature	unsigned_v0
Schema	pith-number/v1.0

Canonical hash

ee5e1037a367708e0240cf46d40ae81b33b640ccd4fefd7fed73b401b29c7295

Aliases

arxiv: 2509.11314 · arxiv_version: 2509.11314v2 · doi: 10.48550/arxiv.2509.11314 · pith_short_12: 5ZPBAN5DM5YI · pith_short_16: 5ZPBAN5DM5YI4ASA · pith_short_8: 5ZPBAN5D

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/5ZPBAN5DM5YI4ASAZ5DNICXIDM \
  | 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: ee5e1037a367708e0240cf46d40ae81b33b640ccd4fefd7fed73b401b29c7295

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fb28a816ae1f2844850727953d3922f11280ce49144f1abf498bb64d5889350a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2025-09-14T15:16:32Z",
    "title_canon_sha256": "7531cb7aa97317691121457b250ae5d001e4fd5e15a1c72c98c3d628a7d8137d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2509.11314",
    "kind": "arxiv",
    "version": 2
  }
}