Pith Number

pith:GHRHMNZ4

pith:2010:GHRHMNZ4ZSXMTCQ5N5FYALE2NJ

not attested not anchored not stored refs pending

A class of dust-like self-similar solutions of the massless Einstein-Vlasov system

Alan D. Rendall, Juan J. L. Velazquez

arxiv:1009.2596 v1 · 2010-09-14 · 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{GHRHMNZ4ZSXMTCQ5N5FYALE2NJ}

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	2026-05-18T04:22:00.849536Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

31e276373cccaec98a1d6f4b802c9a6a4e26b6975d620ef55f1364417c720c9c

Aliases

arxiv: 1009.2596 · arxiv_version: 1009.2596v1 · doi: 10.48550/arxiv.1009.2596 · pith_short_12: GHRHMNZ4ZSXM · pith_short_16: GHRHMNZ4ZSXMTCQ5 · pith_short_8: GHRHMNZ4

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/GHRHMNZ4ZSXMTCQ5N5FYALE2NJ \
  | 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: 31e276373cccaec98a1d6f4b802c9a6a4e26b6975d620ef55f1364417c720c9c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "797610fa4cec8ec68855e1b40235d0d6fe4419b0e639ac5de2fda830ad7c0466",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2010-09-14T09:16:08Z",
    "title_canon_sha256": "b577811c15f3ec3206de46b469cf098f810777771e782d7e42cceba6a690f28a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.2596",
    "kind": "arxiv",
    "version": 1
  }
}