Pith Number

pith:COTSF5RH

pith:2011:COTSF5RHQP26FAMJP52OAIPJ7X

not attested not anchored not stored refs pending

Particles approximations of Vlasov equations with singular forces : Propagation of chaos

JAD), Maxime Hauray (LATP), Pierre-Emmanuel Jabin (INRIA Sophia Antipolis / INRIA Lorraine / IECN

arxiv:1107.3821 v6 · 2011-07-19 · 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{COTSF5RHQP26FAMJP52OAIPJ7X}

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	2026-05-18T01:19:06.641441Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

13a722f62783f5e281897f74e021e9fddc4e41d4754fb7bd36fa24a39f08e14c

Aliases

arxiv: 1107.3821 · arxiv_version: 1107.3821v6 · doi: 10.48550/arxiv.1107.3821 · pith_short_12: COTSF5RHQP26 · pith_short_16: COTSF5RHQP26FAMJ · pith_short_8: COTSF5RH

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/COTSF5RHQP26FAMJP52OAIPJ7X \
  | 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: 13a722f62783f5e281897f74e021e9fddc4e41d4754fb7bd36fa24a39f08e14c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a6e01279a2b6b15c2d7c100feef7f19eef25453f52650f2dbb6545e1c623fafe",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2011-07-19T19:40:42Z",
    "title_canon_sha256": "9d78027c7f60cfb86e371d536c82334b7d7b5ba6b73176773b093c64df4fb2b7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.3821",
    "kind": "arxiv",
    "version": 6
  }
}