Pith Number

pith:VWD7ZUKH

pith:1993:VWD7ZUKHSXFRYP6TYOU3CUUFP6

not attested not anchored not stored refs pending

A regularity theorem for solutions of the spherically symmetric Vlasov-Einstein system

Alan D. Rendall, Gerhard Rein, Jack Schaeffer

arxiv:gr-qc/9306020 v1 · 1993-06-16 · 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{VWD7ZUKHSXFRYP6TYOU3CUUFP6}

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	2026-05-18T01:39:19.863292Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ad87fcd14795cb1c3fd3c3a9b152857f90ca929305c2a41842cb02dab924de3c

Aliases

arxiv: gr-qc/9306020 · arxiv_version: gr-qc/9306020v1 · doi: 10.48550/arxiv.gr-qc/9306020 · pith_short_12: VWD7ZUKHSXFR · pith_short_16: VWD7ZUKHSXFRYP6T · pith_short_8: VWD7ZUKH

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/VWD7ZUKHSXFRYP6TYOU3CUUFP6 \
  | 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: ad87fcd14795cb1c3fd3c3a9b152857f90ca929305c2a41842cb02dab924de3c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5d4e5e0455577fd923ce1a0f9f97deaa690bce010479f465af5fde88030c6a45",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "1993-06-16T09:18:47Z",
    "title_canon_sha256": "5f9813fbef8242d5a98a851c3b09a32080b41353b75e3fc4fd60e9fc276b0380"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/9306020",
    "kind": "arxiv",
    "version": 1
  }
}