Pith Number

pith:5ZBYK7XZ

pith:1998:5ZBYK7XZ5EF3FAQD3VJDB24RUK

not attested not anchored not stored refs pending

Unitary and non-unitary evolution in quantum cosmology

R. Parentani, S. Massar

arxiv:gr-qc/9812045 v2 · 1998-12-14 · 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{5ZBYK7XZ5EF3FAQD3VJDB24RUK}

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	2026-05-18T01:08:01.179725Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ee43857ef9e90bb28203dd5230eb91a28ac6099a8bd462a6010924ebe94d92ce

Aliases

arxiv: gr-qc/9812045 · arxiv_version: gr-qc/9812045v2 · doi: 10.48550/arxiv.gr-qc/9812045 · pith_short_12: 5ZBYK7XZ5EF3 · pith_short_16: 5ZBYK7XZ5EF3FAQD · pith_short_8: 5ZBYK7XZ

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/5ZBYK7XZ5EF3FAQD3VJDB24RUK \
  | 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: ee43857ef9e90bb28203dd5230eb91a28ac6099a8bd462a6010924ebe94d92ce

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0c9d5f6b8d22c1c3105e9dbc59592e82d17438fe7ba6d79229c66793704e32a3",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "1998-12-14T11:26:46Z",
    "title_canon_sha256": "3f153bb834e3c1257ae59fa014da7148960fbbb62724783b1930a87c4d0ab6a0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/9812045",
    "kind": "arxiv",
    "version": 2
  }
}