Pith Number

pith:QWJDKCYP

pith:2001:QWJDKCYPN7I3AOFXWCCXBY3CEO

not attested not anchored not stored refs pending

Axial perturbations of general spherically symmetric spacetimes

Max Karlovini

arxiv:gr-qc/0111066 v2 · 2001-11-20 · 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{QWJDKCYPN7I3AOFXWCCXBY3CEO}

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	2026-05-18T04:35:35.072142Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8592350b0f6fd1b038b7b08570e362238dca2a1e61945e03f3354f912f966d3d

Aliases

arxiv: gr-qc/0111066 · arxiv_version: gr-qc/0111066v2 · doi: 10.48550/arxiv.gr-qc/0111066 · pith_short_12: QWJDKCYPN7I3 · pith_short_16: QWJDKCYPN7I3AOFX · pith_short_8: QWJDKCYP

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/QWJDKCYPN7I3AOFXWCCXBY3CEO \
  | 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: 8592350b0f6fd1b038b7b08570e362238dca2a1e61945e03f3354f912f966d3d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d6061ddc1dabb9ab8ded18869df80df2eb52edece65a890e90dfd6b3c601505c",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "2001-11-20T19:14:54Z",
    "title_canon_sha256": "5b8d57c99e833c44dbd4c0e9049570a1dbe17c102de4a02c02b8fbabdd27feff"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/0111066",
    "kind": "arxiv",
    "version": 2
  }
}