Pith Number

pith:NFJGYR5Z

pith:2010:NFJGYR5ZXHN7C4Z4GT4X26JUK2

not attested not anchored not stored refs pending

Existence of axially symmetric static solutions of the Einstein-Vlasov system

Gerhard Rein, Hakan Andreasson, Markus Kunze

arxiv:1006.1225 v1 · 2010-06-07 · 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{NFJGYR5ZXHN7C4Z4GT4X26JUK2}

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	2026-05-18T02:06:56.815462Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

69526c47b9b9dbf1733c34f97d793456a7f80ece47b753ecfae72415e97c8605

Aliases

arxiv: 1006.1225 · arxiv_version: 1006.1225v1 · doi: 10.48550/arxiv.1006.1225 · pith_short_12: NFJGYR5ZXHN7 · pith_short_16: NFJGYR5ZXHN7C4Z4 · pith_short_8: NFJGYR5Z

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/NFJGYR5ZXHN7C4Z4GT4X26JUK2 \
  | 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: 69526c47b9b9dbf1733c34f97d793456a7f80ece47b753ecfae72415e97c8605

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0d0aceb8fbf79a33af8372bfdab582ae50420398c0d0c2cfc69b0606e9c6899d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2010-06-07T10:33:24Z",
    "title_canon_sha256": "26b3ea028a9b3f994de30901a446930e7021d8ed2ab4e6327b5a6300d739edf3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1006.1225",
    "kind": "arxiv",
    "version": 1
  }
}