Pith Number

pith:7H3ZNTVV

pith:1999:7H3ZNTVV3PPDOZWYMMB3Y2RERA

not attested not anchored not stored refs pending

Strengths of singularities in spherical symmetry

Brien C. Nolan

arxiv:gr-qc/9902021 v2 · 1999-02-09 · 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{7H3ZNTVV3PPDOZWYMMB3Y2RERA}

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

Quantum gravitational stellar evolution beyond shell-crossing singularities

Receipt and verification

First computed	2026-05-18T01:08:01.146519Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f9f796ceb5dbde3766d86303bc6a24881d6962cabad66a3f1d4e600457c2e50c

Aliases

arxiv: gr-qc/9902021 · arxiv_version: gr-qc/9902021v2 · doi: 10.48550/arxiv.gr-qc/9902021 · pith_short_12: 7H3ZNTVV3PPD · pith_short_16: 7H3ZNTVV3PPDOZWY · pith_short_8: 7H3ZNTVV

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/7H3ZNTVV3PPDOZWYMMB3Y2RERA \
  | 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: f9f796ceb5dbde3766d86303bc6a24881d6962cabad66a3f1d4e600457c2e50c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1842fa464318a6f2f9c8c17d71d2d7e4489a056994820490b4663293b8ad062d",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "1999-02-09T14:57:16Z",
    "title_canon_sha256": "f36e9f6e8f26245ec35db0eeb9f5a5e015b8ca2c1febf69ee8b2e080869ad88a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/9902021",
    "kind": "arxiv",
    "version": 2
  }
}