Pith Number

pith:62DBYKBC

pith:2007:62DBYKBCE7TWXJMMU35KRAZOCQ

not attested not anchored not stored refs pending

The Mean-Field Limit for Solid Particles in a Navier-Stokes Flow

Fran\c{c}ois Golse (CMLS-EcolePolytechnique, Laurent Desvillettes (CMLA), LJLL), Valeria Ricci

arxiv:math/0703125 v1 · 2007-03-05 · 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{62DBYKBCE7TWXJMMU35KRAZOCQ}

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.

Receipt and verification

First computed	2026-05-18T03:50:00.302025Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f6861c282227e76ba58ca6faa8832e142d2921ee7a5c4b00ecdc673785263981

Aliases

arxiv: math/0703125 · arxiv_version: math/0703125v1 · doi: 10.48550/arxiv.math/0703125 · pith_short_12: 62DBYKBCE7TW · pith_short_16: 62DBYKBCE7TWXJMM · pith_short_8: 62DBYKBC

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/62DBYKBCE7TWXJMMU35KRAZOCQ \
  | 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: f6861c282227e76ba58ca6faa8832e142d2921ee7a5c4b00ecdc673785263981

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8f658b36f37d1cdf98911d0352aa2c3d3bf081b8dc0cfe098adc28a358f5ebef",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.AP",
    "submitted_at": "2007-03-05T13:38:11Z",
    "title_canon_sha256": "833197c7524095fd13a28fefed87b5df8b076582c86f4cb54911ca525b11c123"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0703125",
    "kind": "arxiv",
    "version": 1
  }
}