Pith Number

pith:FNF4Y2NW

pith:2022:FNF4Y2NWQOLKFEFJWDAPGNKQRX

not attested not anchored not stored refs pending

Mean field, hydrodynamic and graph limits for deterministic interacting particle systems: a survey with quantitative estimates

Emmanuel Tr\'elat (LJLL (UMR\_7598)), LYSM), Thierry Paul (LJLL (UMR\_7598)

arxiv:2209.08832 v4 · 2022-09-19 · math.AP · 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{FNF4Y2NWQOLKFEFJWDAPGNKQRX}

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

2 papers in Pith

Function graph transformers universally approximate operators between function spaces

Lagrangian formulation and Eulerian closure in alignment dynamics

Receipt and verification

First computed	2026-05-21T01:04:10.961364Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2b4bcc69b68396a290a9b0c0f335508de87dfbc4185dc1f71d2ee8c0b9686452

Aliases

arxiv: 2209.08832 · arxiv_version: 2209.08832v4 · doi: 10.48550/arxiv.2209.08832 · pith_short_12: FNF4Y2NWQOLK · pith_short_16: FNF4Y2NWQOLKFEFJ · pith_short_8: FNF4Y2NW

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/FNF4Y2NWQOLKFEFJWDAPGNKQRX \
  | 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: 2b4bcc69b68396a290a9b0c0f335508de87dfbc4185dc1f71d2ee8c0b9686452

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6df9e627f9a07656c3bf6c626f0601d48206819fd95a1789ab0951672b6285e1",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2022-09-19T08:24:48Z",
    "title_canon_sha256": "17eb7529487d1f74b2ea859ffeb75c9dc4c3a38c9c84b9eec4727121ff81a1fb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2209.08832",
    "kind": "arxiv",
    "version": 4
  }
}