Pith Number

pith:P663AY6H

pith:2003:P663AY6H6ANWFG52TYB5JI77O5

not attested not anchored not stored refs pending

Radon transform of Wheeler-De Witt equation and tomography of quantum states of the universe

C. Stornaiolo, G. Marmo, V.I. Manko

arxiv:gr-qc/0307084 v2 · 2003-07-17 · 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{P663AY6H6ANWFG52TYB5JI77O5}

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	2026-07-04T16:40:15.261357Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7fbdb063c7f01b629bba9e03d4a3ff776bbeb493dc627292b069fad94a6195a0

Aliases

arxiv: gr-qc/0307084 · arxiv_version: gr-qc/0307084v2 · doi: 10.48550/arxiv.gr-qc/0307084 · pith_short_12: P663AY6H6ANW · pith_short_16: P663AY6H6ANWFG52 · pith_short_8: P663AY6H

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/P663AY6H6ANWFG52TYB5JI77O5 \
  | 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: 7fbdb063c7f01b629bba9e03d4a3ff776bbeb493dc627292b069fad94a6195a0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1d3e2e1ac75b63506383b35f2adfc21b804f8a94c723ddfe05ad6b5cdf9542fd",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "2003-07-17T15:46:03Z",
    "title_canon_sha256": "46d1d27bb22a36d03ff964c50c4947dbc1d68d3ae400b44838837af7a3630bf9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/0307084",
    "kind": "arxiv",
    "version": 2
  }
}