Pith Number

pith:A5HW6MAL

pith:2002:A5HW6MALT7CEKVJFAV7AX2QM3H

not attested not anchored not stored refs pending

The Einstein-Vlasov system

Alan D. Rendall

arxiv:gr-qc/0208082 v1 · 2002-08-27 · 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{A5HW6MALT7CEKVJFAV7AX2QM3H}

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	2026-07-04T14:25:35.988733Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

074f6f300b9fc4455525057e0bea0cd9d94003a28e5e648ee18380655ee6163c

Aliases

arxiv: gr-qc/0208082 · arxiv_version: gr-qc/0208082v1 · doi: 10.48550/arxiv.gr-qc/0208082 · pith_short_12: A5HW6MALT7CE · pith_short_16: A5HW6MALT7CEKVJF · pith_short_8: A5HW6MAL

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/A5HW6MALT7CEKVJFAV7AX2QM3H \
  | 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: 074f6f300b9fc4455525057e0bea0cd9d94003a28e5e648ee18380655ee6163c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "92cbb39f20ceeccf60c049c8d8a0919ba19dd4b7752a2261b7aed88838763218",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "2002-08-27T08:20:39Z",
    "title_canon_sha256": "fac38e744f326e2c7c29239eee146807e7466e610ef522412ffdf871da3dc872"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/0208082",
    "kind": "arxiv",
    "version": 1
  }
}