Pith Number

pith:MWA2W66Z

pith:2006:MWA2W66ZUM47UDZCW7RL4IGN2C

not attested not anchored not stored refs pending

Global existence for the spherically symmetric Einstein-Vlasov system with outgoing matter

Gerhard Rein, Hakan Andreasson, Markus Kunze

arxiv:gr-qc/0611115 v1 · 2006-11-22 · 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{MWA2W66ZUM47UDZCW7RL4IGN2C}

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	2026-05-18T04:30:24.165329Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6581ab7bd9a339fa0f22b7e2be20cdd0b30b7fc89c4645a06534c1279c6a91c2

Aliases

arxiv: gr-qc/0611115 · arxiv_version: gr-qc/0611115v1 · doi: 10.48550/arxiv.gr-qc/0611115 · pith_short_12: MWA2W66ZUM47 · pith_short_16: MWA2W66ZUM47UDZC · pith_short_8: MWA2W66Z

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/MWA2W66ZUM47UDZCW7RL4IGN2C \
  | 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: 6581ab7bd9a339fa0f22b7e2be20cdd0b30b7fc89c4645a06534c1279c6a91c2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a97c326287bdd4ad68ed04324bdaf2e2ad503b6b000c204967fb6beaa8ec083e",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "2006-11-22T15:11:43Z",
    "title_canon_sha256": "adcdeedac27c83a736aeacfba52fc53f8a400e2a13d9539b61424d9ace62e487"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/0611115",
    "kind": "arxiv",
    "version": 1
  }
}