Pith Number

pith:GJ3E27AX

pith:2004:GJ3E27AXZ7ZWXW6RBBI5LQHIZJ

not attested not anchored not stored refs pending

Spherically Symmetric Quantum Geometry: States and Basic Operators

Martin Bojowald

arxiv:gr-qc/0407017 v2 · 2004-07-05 · 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{GJ3E27AXZ7ZWXW6RBBI5LQHIZJ}

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

Emergent field theory

Receipt and verification

First computed	2026-07-04T14:25:46.788158Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

32764d7c17cff36bdbd10851d5c0e8ca7dcfb007f01e6f4d2d7af2cefb1007bf

Aliases

arxiv: gr-qc/0407017 · arxiv_version: gr-qc/0407017v2 · doi: 10.48550/arxiv.gr-qc/0407017 · pith_short_12: GJ3E27AXZ7ZW · pith_short_16: GJ3E27AXZ7ZWXW6R · pith_short_8: GJ3E27AX

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/GJ3E27AXZ7ZWXW6RBBI5LQHIZJ \
  | 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: 32764d7c17cff36bdbd10851d5c0e8ca7dcfb007f01e6f4d2d7af2cefb1007bf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "60b2bea621e6cab9c8ee90924981f54c6dfb8eb7ffd16463c8907d75374422a1",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "2004-07-05T13:43:48Z",
    "title_canon_sha256": "4205f492253bec33f7789b095b90c116008ace6ada8923862406d5e29fe5c454"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/0407017",
    "kind": "arxiv",
    "version": 2
  }
}