Pith Number

pith:3FP5Y2O3

pith:1999:3FP5Y2O3EINUMQA45HBHWZWDX5

not attested not anchored not stored refs pending

Group Theoretical Quantization of a Phase Space S^1 x R^+ and the Mass Spectrum of Schwarzschild Black Holes in D Space-Time Dimensions

F. Schramm, Germany), H.A. Kastrup, M. Bojowald, T. Strobl (RWTH Aachen

arxiv:gr-qc/9906105 v3 · 1999-06-24 · gr-qc · hep-th · quant-ph

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3FP5Y2O3EINUMQA45HBHWZWDX5}

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	2026-05-18T01:06:44.055856Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d95fdc69db221b46401ce9c27b66c3bf4eafb5c3b5c485af70c5264a4df577ef

Aliases

arxiv: gr-qc/9906105 · arxiv_version: gr-qc/9906105v3 · doi: 10.48550/arxiv.gr-qc/9906105 · pith_short_12: 3FP5Y2O3EINU · pith_short_16: 3FP5Y2O3EINUMQA4 · pith_short_8: 3FP5Y2O3

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/3FP5Y2O3EINUMQA45HBHWZWDX5 \
  | 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: d95fdc69db221b46401ce9c27b66c3bf4eafb5c3b5c485af70c5264a4df577ef

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4c70d850c63c1d40e050d745c56e67e209412bd9a8961a384fbcfeb0d4ead7a0",
    "cross_cats_sorted": [
      "hep-th",
      "quant-ph"
    ],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "1999-06-24T18:12:15Z",
    "title_canon_sha256": "dfc9848d854ff9bb04035f258f35a06217ef350a37e5ef63e50ba66986952835"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/9906105",
    "kind": "arxiv",
    "version": 3
  }
}