Pith Number

pith:O4QFPBFD

pith:1998:O4QFPBFDR5UBEVZ7IJD7RKOZL7

not attested not anchored not stored refs pending

Critical Collapse Beyond Spherical Symmetry: General Perturbations of the Roberts Solution

Andrei V. Frolov

arxiv:gr-qc/9811001 v1 · 1998-11-01 · 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{O4QFPBFDR5UBEVZ7IJD7RKOZL7}

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

3 papers in Pith

Unveiling horizons in quantum critical collapse

Quantum Critical Collapse Abhors a Naked Singularity

Unveiling horizons in quantum critical collapse

Receipt and verification

First computed	2026-05-18T01:08:06.215507Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

77205784a38f6812573f4247f8a9d95fc8d672e1adb8870e8441c90bb6e9a6fa

Aliases

arxiv: gr-qc/9811001 · arxiv_version: gr-qc/9811001v1 · doi: 10.48550/arxiv.gr-qc/9811001 · pith_short_12: O4QFPBFDR5UB · pith_short_16: O4QFPBFDR5UBEVZ7 · pith_short_8: O4QFPBFD

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/O4QFPBFDR5UBEVZ7IJD7RKOZL7 \
  | 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: 77205784a38f6812573f4247f8a9d95fc8d672e1adb8870e8441c90bb6e9a6fa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c5e6e4d8d13c0c83664cb60e39b93f21fcf28833e2395b84251faba713a29331",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "1998-11-01T04:37:46Z",
    "title_canon_sha256": "f321eff3d0f6205868e82447a62b6d6892f77bc6098d34cce1e40b8faf7a5b4c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/9811001",
    "kind": "arxiv",
    "version": 1
  }
}