Pith Number

pith:PCGJREXK

pith:1999:PCGJREXKBZK2KNPVHHQGOI3WDZ

not attested not anchored not stored refs pending

Expanding impulsive gravitational waves

J. B. Griffiths, J. Podolsky

arxiv:gr-qc/9907022 v1 · 1999-07-06 · 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{PCGJREXKBZK2KNPVHHQGOI3WDZ}

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

A Covariant Distributional Approach for Junctions in Torsional Locally Rotationally Symmetric Class II Spacetimes

Receipt and verification

First computed	2026-07-04T16:13:52.818379Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

788c9892ea0e55a535f539e06723761e42f3d7c9b3780366ef0a73d5e5692154

Aliases

arxiv: gr-qc/9907022 · arxiv_version: gr-qc/9907022v1 · doi: 10.48550/arxiv.gr-qc/9907022 · pith_short_12: PCGJREXKBZK2 · pith_short_16: PCGJREXKBZK2KNPV · pith_short_8: PCGJREXK

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/PCGJREXKBZK2KNPVHHQGOI3WDZ \
  | 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: 788c9892ea0e55a535f539e06723761e42f3d7c9b3780366ef0a73d5e5692154

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6579239cad0ecfe6a06fd68a24d5c3d7c328c6c56f1a1026aacd14734790753e",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "1999-07-06T12:49:08Z",
    "title_canon_sha256": "f08a24114c84f93c461186ddd8f6195790ba87c74c085587309c578fc916d229"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/9907022",
    "kind": "arxiv",
    "version": 1
  }
}