Pith Number

pith:TBPYQCYX

pith:1999:TBPYQCYXOBT7EFPZXEY3HATQKQ

not attested not anchored not stored refs pending

A Uniqueness Theorem for Constraint Quantization

Domenico Giulini, Donald Marolf

arxiv:gr-qc/9902045 v2 · 1999-02-15 · 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{TBPYQCYXOBT7EFPZXEY3HATQKQ}

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

Smooth horizons from topology change in canonical quantum gravity

Gravitational Hilbert spaces: invariant and co-invariant states, inner products, gauge-fixing, and BRST

Gravitational null rays: Covariant Quantization and the Dressing Time

Receipt and verification

First computed	2026-07-04T16:13:49.305140Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

985f880b177067f215f9b931b382705412ab6fba3e23b604014de1472e8e2dbe

Aliases

arxiv: gr-qc/9902045 · arxiv_version: gr-qc/9902045v2 · doi: 10.48550/arxiv.gr-qc/9902045 · pith_short_12: TBPYQCYXOBT7 · pith_short_16: TBPYQCYXOBT7EFPZ · pith_short_8: TBPYQCYX

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/TBPYQCYXOBT7EFPZXEY3HATQKQ \
  | 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: 985f880b177067f215f9b931b382705412ab6fba3e23b604014de1472e8e2dbe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3ec320659bf9ff43d054cb70929fde345f921035a14ec0e50daf0eaa6849509e",
    "cross_cats_sorted": [
      "hep-th",
      "quant-ph"
    ],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "1999-02-15T13:26:58Z",
    "title_canon_sha256": "f29424b307a660c2dc08010ed3266597585cec979f0ee6507671b25838f0ce20"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/9902045",
    "kind": "arxiv",
    "version": 2
  }
}