Pith Number

pith:6G4C44GJ

pith:2010:6G4C44GJ4EOPLA4B7V7RRMQX5H

not attested not anchored not stored refs pending

Stable ground states and self-similar blow-up solutions for the gravitational Vlasov-Manev system

Cyril Rigault (IRMAR), Florian M\'ehats (IRMAR), Mohammed Lemou (IRMAR)

arxiv:1006.0070 v3 · 2010-06-01 · math.AP · astro-ph.GA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6G4C44GJ4EOPLA4B7V7RRMQX5H}

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	2026-05-18T03:40:51.681018Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f1b82e70c9e11cf58381fd7f18b217e9c94953ec7584e87801ddbed6e52bd554

Aliases

arxiv: 1006.0070 · arxiv_version: 1006.0070v3 · doi: 10.48550/arxiv.1006.0070 · pith_short_12: 6G4C44GJ4EOP · pith_short_16: 6G4C44GJ4EOPLA4B · pith_short_8: 6G4C44GJ

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/6G4C44GJ4EOPLA4B7V7RRMQX5H \
  | 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: f1b82e70c9e11cf58381fd7f18b217e9c94953ec7584e87801ddbed6e52bd554

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4a742b7373d716504d2a04832efa86fbd0d49555cd4491c1fd5abc689c0c6003",
    "cross_cats_sorted": [
      "astro-ph.GA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2010-06-01T07:01:28Z",
    "title_canon_sha256": "6e81f7ce35410cdfc5d4df2a373a7c2d2022b61f659ca2c97ddf305cc6ef3554"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1006.0070",
    "kind": "arxiv",
    "version": 3
  }
}