Pith Number

pith:2ZVBX65G

pith:2001:2ZVBX65GCF6SAC25CJ3KPASXZW

not attested not anchored not stored refs pending

On the Einstein-Vlasov system with hyperbolic symmetry

Alan D. Rendall, Gerhard Rein, Hakan Andreasson

arxiv:gr-qc/0110089 v1 · 2001-10-22 · 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{2ZVBX65GCF6SAC25CJ3KPASXZW}

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	2026-05-18T01:39:23.978227Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d66a1bfba6117d200b5d1276a78257cda6559954bc9235abe92817286e76cc2b

Aliases

arxiv: gr-qc/0110089 · arxiv_version: gr-qc/0110089v1 · doi: 10.48550/arxiv.gr-qc/0110089 · pith_short_12: 2ZVBX65GCF6S · pith_short_16: 2ZVBX65GCF6SAC25 · pith_short_8: 2ZVBX65G

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/2ZVBX65GCF6SAC25CJ3KPASXZW \
  | 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: d66a1bfba6117d200b5d1276a78257cda6559954bc9235abe92817286e76cc2b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ed58264252969c41f13e6e96b423c3ad10efeab2e827ba5a5714ebb2c4888599",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "2001-10-22T13:33:26Z",
    "title_canon_sha256": "ec9e4da79f8713d097a93755af5723a619f55734de7b2eedee1d00253e5b4367"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/0110089",
    "kind": "arxiv",
    "version": 1
  }
}