Pith Number

pith:AZWZI54G

pith:1997:AZWZI54GDTH44MKZHXPTVTEWNQ

not attested not anchored not stored refs pending

Comparing Formulations of Generalized Quantum Mechanics for Reparametrization-Invariant Systems

Donald Marolf (Department of Physics, James B. Hartle (Institute for Theoretical Physics, Santa Barbara), Syracuse University), University of California

arxiv:gr-qc/9703021 v1 · 1997-03-07 · gr-qc · 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{AZWZI54GDTH44MKZHXPTVTEWNQ}

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

1 paper in Pith

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

Receipt and verification

First computed	2026-05-18T01:08:07.885389Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

066d9477861ccfce31593ddf3acc966c1e71b4cd38ce199e5bf3048714d0d9a8

Aliases

arxiv: gr-qc/9703021 · arxiv_version: gr-qc/9703021v1 · doi: 10.48550/arxiv.gr-qc/9703021 · pith_short_12: AZWZI54GDTH4 · pith_short_16: AZWZI54GDTH44MKZ · pith_short_8: AZWZI54G

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/AZWZI54GDTH44MKZHXPTVTEWNQ \
  | 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: 066d9477861ccfce31593ddf3acc966c1e71b4cd38ce199e5bf3048714d0d9a8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "487bf23b5b52d1070b7e41e29b7e557f468f6ff4927445a6df77acc66c5f2d1d",
    "cross_cats_sorted": [
      "quant-ph"
    ],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "1997-03-07T17:39:27Z",
    "title_canon_sha256": "691e137c4cd0f1d9ee581111253898eb357b0f49ef7980d075b8bbf673fd6774"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/9703021",
    "kind": "arxiv",
    "version": 1
  }
}