Pith Number

pith:VKRJ6YXH

pith:2000:VKRJ6YXHPCQ55KPSCKHMAQTHDB

not attested not anchored not stored refs pending

Quiescent cosmological singularities

Alan D. Rendall, Lars Andersson

arxiv:gr-qc/0001047 v1 · 2000-01-17 · 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{VKRJ6YXHPCQ55KPSCKHMAQTHDB}

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.

Cited by

1 paper in Pith

The free boundary problem in general relativity

Receipt and verification

First computed	2026-07-04T16:19:35.299575Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aaa29f62e778a1dea9f2128ec04267186c0c9f83ac669e6c0a00cc1b90d3907b

Aliases

arxiv: gr-qc/0001047 · arxiv_version: gr-qc/0001047v1 · doi: 10.48550/arxiv.gr-qc/0001047 · pith_short_12: VKRJ6YXHPCQ5 · pith_short_16: VKRJ6YXHPCQ55KPS · pith_short_8: VKRJ6YXH

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/VKRJ6YXHPCQ55KPSCKHMAQTHDB \
  | 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: aaa29f62e778a1dea9f2128ec04267186c0c9f83ac669e6c0a00cc1b90d3907b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "77f4ec51064f481a13cc55e852ee49bb55c95ef77493653ce86889e2e64eef0a",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "2000-01-17T14:22:17Z",
    "title_canon_sha256": "0d073116d1e095417ef58c5af0aa0e17fcdcd04696872dff24801f1fbe00b223"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/0001047",
    "kind": "arxiv",
    "version": 1
  }
}