Pith Number

pith:L2XGWRQS

pith:2000:L2XGWRQSMAOOITSP4OGDJ5HB4F

not attested not anchored not stored refs pending

Blow-up for solutions of hyperbolic PDE and spacetime singularities

Alan D. Rendall

arxiv:gr-qc/0006060 v1 · 2000-06-16 · 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{L2XGWRQSMAOOITSP4OGDJ5HB4F}

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	2026-07-04T14:25:17.662794Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5eae6b4612601ce44e4fe38c34f4e1e16ba871f94624eabc61c9b68b6e35d20f

Aliases

arxiv: gr-qc/0006060 · arxiv_version: gr-qc/0006060v1 · doi: 10.48550/arxiv.gr-qc/0006060 · pith_short_12: L2XGWRQSMAOO · pith_short_16: L2XGWRQSMAOOITSP · pith_short_8: L2XGWRQS

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/L2XGWRQSMAOOITSP4OGDJ5HB4F \
  | 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: 5eae6b4612601ce44e4fe38c34f4e1e16ba871f94624eabc61c9b68b6e35d20f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6b314b80a68c3af57702a971e839a8f126290f4390c357d7b9e7397a9660cc40",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "2000-06-16T10:26:04Z",
    "title_canon_sha256": "0b6eb3747c42eab7c41c73d8fe52ab87f5b680a28000573740455f694d78ca3b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/0006060",
    "kind": "arxiv",
    "version": 1
  }
}