Pith Number

pith:ZLQWKROX

pith:2009:ZLQWKROXG572JI2R4F25JJZIU2

not attested not anchored not stored refs pending

Stable ground states for the relativistic gravitational Vlasov-Poisson system

Florian Mehats, Mohammed Lemou, Pierre Raphael

arxiv:0902.0894 v1 · 2009-02-05 · math.AP · astro-ph.GA · gr-qc

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZLQWKROXG572JI2R4F25JJZIU2}

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	2026-05-18T02:35:01.357837Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cae16545d7377fa4a351e175d4a728a6ac79c332f6190cee8c224bcf10cf03d3

Aliases

arxiv: 0902.0894 · arxiv_version: 0902.0894v1 · doi: 10.48550/arxiv.0902.0894 · pith_short_12: ZLQWKROXG572 · pith_short_16: ZLQWKROXG572JI2R · pith_short_8: ZLQWKROX

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/ZLQWKROXG572JI2R4F25JJZIU2 \
  | 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: cae16545d7377fa4a351e175d4a728a6ac79c332f6190cee8c224bcf10cf03d3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "334346b2225829b58352a679682f0b3eb80c278a6710296f2afc6ac5a6130fb1",
    "cross_cats_sorted": [
      "astro-ph.GA",
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2009-02-05T12:40:15Z",
    "title_canon_sha256": "3da60c5570e04e9abcdee3e485e642cab0e4bf3990cdbb5325f91f5ef0451b82"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0902.0894",
    "kind": "arxiv",
    "version": 1
  }
}