Pith Number

pith:A37NYJVF

pith:2024:A37NYJVF5LCPFBZEJTUOWEFRDS

not attested not anchored not stored refs pending

Relative entropy and modulated free energy without confinement via self-similar transformation

Matthew Rosenzweig, Sylvia Serfaty

arxiv:2402.13977 v1 · 2024-02-21 · math.AP · math-ph · math.MP · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{A37NYJVF5LCPFBZEJTUOWEFRDS}

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.

Cited by

1 paper in Pith

Quantitative propagation of chaos for particle systems with bounded kernels and multiplicative noise

Receipt and verification

First computed	2026-07-05T07:47:50.938901Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

06fedc26a5eac4f287244ce8eb10b11c98f2a4725763924ac3a7d7c68b55d061

Aliases

arxiv: 2402.13977 · arxiv_version: 2402.13977v1 · doi: 10.48550/arxiv.2402.13977 · pith_short_12: A37NYJVF5LCP · pith_short_16: A37NYJVF5LCPFBZE · pith_short_8: A37NYJVF

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/A37NYJVF5LCPFBZEJTUOWEFRDS \
  | 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: 06fedc26a5eac4f287244ce8eb10b11c98f2a4725763924ac3a7d7c68b55d061

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7bbc3f6575bbf403cfce01cc42c8c2567dbabf0366e3bad5f75308092b00091c",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2024-02-21T18:07:12Z",
    "title_canon_sha256": "4f282063d038790c16338bb9617908b9a61f8839cdb69781206d2b6ecccf1dcd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2402.13977",
    "kind": "arxiv",
    "version": 1
  }
}