Pith Number

pith:ZG3W7OKF

pith:2004:ZG3W7OKFUGMGAIGP6NLPPLFH2V

not attested not anchored not stored refs pending

The Volume Operator in Spherically Symmetric Quantum Geometry

Martin Bojowald, Rafal Swiderski

arxiv:gr-qc/0407018 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{ZG3W7OKFUGMGAIGP6NLPPLFH2V}

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	2026-07-04T14:25:46.804238Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c9b76fb945a1986020cff356f7aca7d57d1a68a3dba998dfa7ad20346a34936f

Aliases

arxiv: gr-qc/0407018 · arxiv_version: gr-qc/0407018v2 · doi: 10.48550/arxiv.gr-qc/0407018 · pith_short_12: ZG3W7OKFUGMG · pith_short_16: ZG3W7OKFUGMGAIGP · pith_short_8: ZG3W7OKF

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/ZG3W7OKFUGMGAIGP6NLPPLFH2V \
  | 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: c9b76fb945a1986020cff356f7aca7d57d1a68a3dba998dfa7ad20346a34936f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "10276e874640b1668d81590b481ee1d8d372c3e1358be413198867af3c5e45df",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "2004-07-05T13:38:02Z",
    "title_canon_sha256": "153c6143bb9894cf2c01031c6ac99982761a8545f43f5317ef97f181ffe442db"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/0407018",
    "kind": "arxiv",
    "version": 2
  }
}