Pith Number

pith:EX4GJ3IK

pith:2013:EX4GJ3IKNTUW3PF4DTHC55UZP5

not attested not anchored not stored refs pending

Empirical Measures and Vlasov Hierarchies

Cl\'ement Mouhot, Fran\c{c}ois Golse, Valeria Ricci

arxiv:1309.0222 v2 · 2013-09-01 · 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{EX4GJ3IKNTUW3PF4DTHC55UZP5}

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	2026-05-18T02:39:24.068221Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

25f864ed0a6ce96dbcbc1cce2ef6997f77ee85bb6bfe4d7b6d1131a8f3c52c2d

Aliases

arxiv: 1309.0222 · arxiv_version: 1309.0222v2 · doi: 10.48550/arxiv.1309.0222 · pith_short_12: EX4GJ3IKNTUW · pith_short_16: EX4GJ3IKNTUW3PF4 · pith_short_8: EX4GJ3IK

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/EX4GJ3IKNTUW3PF4DTHC55UZP5 \
  | 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: 25f864ed0a6ce96dbcbc1cce2ef6997f77ee85bb6bfe4d7b6d1131a8f3c52c2d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "588bf49e4c4caa427cca00977fbbd92672780fd45a199e853d2cfa9df1038814",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-09-01T14:06:59Z",
    "title_canon_sha256": "ce292dda2f407236fb946e39965cd1ac20fbf70d492a21a38789c736bbcf95a0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.0222",
    "kind": "arxiv",
    "version": 2
  }
}