Pith Number

pith:4KCDSY22

pith:2021:4KCDSY22N3KMQHGCTXCCPOPMDS

not attested not anchored not stored refs pending

Entropic turnpike estimates for the kinetic Schr\"odinger problem

Alberto Chiarini, Giacomo Greco, Giovanni Conforti, Zhenjie Ren

arxiv:2108.09161 v2 · 2021-08-20 · math.PR · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4KCDSY22N3KMQHGCTXCCPOPMDS}

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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

On the numerical integration of the Fokker-Planck equation driven by a mechanical force and the Bismut-Elworthy-Li formula

Receipt and verification

First computed	2026-07-05T04:55:36.485826Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e28439635a6ed4c81cc29dc427b9ec1ca6ec7d1e20b0e67fb830ecd9d6d48422

Aliases

arxiv: 2108.09161 · arxiv_version: 2108.09161v2 · doi: 10.48550/arxiv.2108.09161 · pith_short_12: 4KCDSY22N3KM · pith_short_16: 4KCDSY22N3KMQHGC · pith_short_8: 4KCDSY22

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/4KCDSY22N3KMQHGCTXCCPOPMDS \
  | 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: e28439635a6ed4c81cc29dc427b9ec1ca6ec7d1e20b0e67fb830ecd9d6d48422

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "85b27abf4fa2ac727b147c396d5965c883dcbc55d6ef0f4bed70be45e769d19b",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2021-08-20T13:15:40Z",
    "title_canon_sha256": "604fb3c1cecc3df37974bdb0d4d4902ca699534a8e8883afe221a07d4061be00"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2108.09161",
    "kind": "arxiv",
    "version": 2
  }
}