Pith Number

pith:FHB2VFA4

pith:2000:FHB2VFA4IESISPO2A3G66Z2ENA

not attested not anchored not stored refs pending

Group Averaging and Refined Algebraic Quantization: Where are we now?

Donald Marolf

arxiv:gr-qc/0011112 v1 · 2000-11-30 · 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{FHB2VFA4IESISPO2A3G66Z2ENA}

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	2026-07-04T14:25:20.025350Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

29c3aa941c4124893dda06cdef6744681e78a4657fe1ce65296f10ca55aee933

Aliases

arxiv: gr-qc/0011112 · arxiv_version: gr-qc/0011112v1 · doi: 10.48550/arxiv.gr-qc/0011112 · pith_short_12: FHB2VFA4IESI · pith_short_16: FHB2VFA4IESISPO2 · pith_short_8: FHB2VFA4

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/FHB2VFA4IESISPO2A3G66Z2ENA \
  | 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: 29c3aa941c4124893dda06cdef6744681e78a4657fe1ce65296f10ca55aee933

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fea08b10a5ff118ff8d17c3416b291c4e47db4b77f4460e9dccdea13f6e90907",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "2000-11-30T00:02:33Z",
    "title_canon_sha256": "3365e988509bd59d4bd90338573b2d98a0f4516341db4676370f415336c2bffd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/0011112",
    "kind": "arxiv",
    "version": 1
  }
}