Pith Number

pith:3TFVSPXN

pith:1994:3TFVSPXNI4KUVXXTMGCVZIXO25

not attested not anchored not stored refs pending

Geometrodynamics of Schwarzschild Black Holes

Karel V. Kucha\v{r}

arxiv:gr-qc/9403003 v1 · 1994-03-01 · 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{3TFVSPXNI4KUVXXTMGCVZIXO25}

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

2 papers in Pith

Canonical quantization of all minisuperspaces with consistent symmetry reductions

Receipt and verification

First computed	2026-05-18T02:37:29.885685Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dccb593eed47154adef361855ca2eed76f10f0cbab1bcee77352640f6aa5aff1

Aliases

arxiv: gr-qc/9403003 · arxiv_version: gr-qc/9403003v1 · doi: 10.48550/arxiv.gr-qc/9403003 · pith_short_12: 3TFVSPXNI4KU · pith_short_16: 3TFVSPXNI4KUVXXT · pith_short_8: 3TFVSPXN

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/3TFVSPXNI4KUVXXTMGCVZIXO25 \
  | 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: dccb593eed47154adef361855ca2eed76f10f0cbab1bcee77352640f6aa5aff1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2ac2f52ff0ad73f55207d506790d6983eff7d9cad2b5251540bf4ac97a3f68ca",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "1994-03-01T21:44:32Z",
    "title_canon_sha256": "b4cc31ebc6992ce3b2775ec6f5e478976bbfb00532a5a3a80eefb421c5429010"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/9403003",
    "kind": "arxiv",
    "version": 1
  }
}