Pith Number

pith:G6NCPNV5

pith:2025:G6NCPNV5YCJKO5ODD2TMID4E4I

not attested not anchored not stored refs pending

Large-scale concentration and relaxation for mean-field Langevin particle systems

Songbo Wang

arxiv:2508.16428 v2 · 2025-08-22 · math.PR · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{G6NCPNV5YCJKO5ODD2TMID4E4I}

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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

4 papers in Pith

Nesterov acceleration for the Wasserstein minimization of displacement-convex free energies

Receipt and verification

First computed	2026-05-28T01:04:29.745448Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

379a27b6bdc092a775c31ea6c40f84e21cb2fe63272c522ffa9d362cc4804f45

Aliases

arxiv: 2508.16428 · arxiv_version: 2508.16428v2 · doi: 10.48550/arxiv.2508.16428 · pith_short_12: G6NCPNV5YCJK · pith_short_16: G6NCPNV5YCJKO5OD · pith_short_8: G6NCPNV5

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/G6NCPNV5YCJKO5ODD2TMID4E4I \
  | 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: 379a27b6bdc092a775c31ea6c40f84e21cb2fe63272c522ffa9d362cc4804f45

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8f5989cb4f823e5790108fa83a93805c55798ca4f207245d0909109b23464818",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2025-08-22T14:39:39Z",
    "title_canon_sha256": "7c85910accf0c056a38a77249df4a17f238f2a063d28d161fc00aca0c43e6c8a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2508.16428",
    "kind": "arxiv",
    "version": 2
  }
}