Pith Number

pith:NO5M5HW4

pith:2026:NO5M5HW4TPTJ5A7Z2NMGANZS5T

not attested not anchored not stored refs pending

Wasserstein-2 gradient flows and the geometry of entropy production in classical and quantum stochastic thermodynamics

Artemy Kolchinsky, Olga Movilla Miangolarra, Ralph Sabbagh

arxiv:2606.00698 v1 · 2026-05-30 · cond-mat.stat-mech · quant-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{NO5M5HW4TPTJ5A7Z2NMGANZS5T}

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	2026-06-02T01:04:03.160173Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6bbace9edc9be69e83f9d358603732ecd59d90384d753e828d2e547e52cafa35

Aliases

arxiv: 2606.00698 · arxiv_version: 2606.00698v1 · doi: 10.48550/arxiv.2606.00698 · pith_short_12: NO5M5HW4TPTJ · pith_short_16: NO5M5HW4TPTJ5A7Z · pith_short_8: NO5M5HW4

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/NO5M5HW4TPTJ5A7Z2NMGANZS5T \
  | 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: 6bbace9edc9be69e83f9d358603732ecd59d90384d753e828d2e547e52cafa35

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d2e5c7fa94ede480f4cdf7712c5f9970294106780846a05171a07eb31258b90f",
    "cross_cats_sorted": [
      "quant-ph"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2026-05-30T12:12:46Z",
    "title_canon_sha256": "55c403645d3fce2871c326aadb49b2840e6a9a6e625ff14c7c92cc7815b73b53"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.00698",
    "kind": "arxiv",
    "version": 1
  }
}