Pith Number

pith:RU42A2P5

pith:2019:RU42A2P5O7LCQY57AI46NIZ7XU

not attested not anchored not stored refs pending

The mean field Schr\"odinger problem: ergodic behavior, entropy estimates and functional inequalities

Christian L\'eonard, Giovani Conforti, Ivan Gentil, Julio Backhoff-Veraguas

arxiv:1905.02393 v1 · 2019-05-07 · math.PR · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RU42A2P5O7LCQY57AI46NIZ7XU}

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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

Mean-Field Path-Integral Diffusion: From Samples to Interacting Agents

Receipt and verification

First computed	2026-05-17T23:46:51.596740Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8d39a069fd77d62863bf0239e6a33fbd0e793708a9415e137f7b2c59e3b5e46e

Aliases

arxiv: 1905.02393 · arxiv_version: 1905.02393v1 · doi: 10.48550/arxiv.1905.02393 · pith_short_12: RU42A2P5O7LC · pith_short_16: RU42A2P5O7LCQY57 · pith_short_8: RU42A2P5

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/RU42A2P5O7LCQY57AI46NIZ7XU \
  | 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: 8d39a069fd77d62863bf0239e6a33fbd0e793708a9415e137f7b2c59e3b5e46e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4be455c94a274c4d65aa30776f7653b66b6d85a33770fdd31ea1db3c83e1dd25",
    "cross_cats_sorted": [
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2019-05-07T07:50:33Z",
    "title_canon_sha256": "0b98b6b89aced8a6e082415c1c9ed65b0cb278c8c0b3e5c68fcb10c68e098dca"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1905.02393",
    "kind": "arxiv",
    "version": 1
  }
}