Pith Number

pith:PKOMXLYF

pith:1998:PKOMXLYFKM5JNEQYIMYBDWM3RZ

not attested not anchored not stored refs pending

Analytic Solutions of The Wheeler-DeWitt Equation in Spherically Symmetric Space-time

Eiichi Takasugi, Hiroto Kubotani, Masakatsu Kenmoku, Yuki Yamazaki

arxiv:gr-qc/9810042 v1 · 1998-10-13 · 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{PKOMXLYFKM5JNEQYIMYBDWM3RZ}

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	2026-05-18T04:35:25.626461Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7a9ccbaf05533a969218433011d99b8e60ca963e8efca67ffc71dbbd1f16b5ab

Aliases

arxiv: gr-qc/9810042 · arxiv_version: gr-qc/9810042v1 · doi: 10.48550/arxiv.gr-qc/9810042 · pith_short_12: PKOMXLYFKM5J · pith_short_16: PKOMXLYFKM5JNEQY · pith_short_8: PKOMXLYF

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/PKOMXLYFKM5JNEQYIMYBDWM3RZ \
  | 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: 7a9ccbaf05533a969218433011d99b8e60ca963e8efca67ffc71dbbd1f16b5ab

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "972e5345152f68f5902e9f18f6f0b30bb10704811bcf53930d20696839d47872",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "1998-10-13T07:38:17Z",
    "title_canon_sha256": "2d6351e04db0721911977ed94b98ff31c913bffe861806ce160bc9c109e47a04"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/9810042",
    "kind": "arxiv",
    "version": 1
  }
}