Pith Number

pith:QLRSJTEJ

pith:2008:QLRSJTEJEIIJ5UQY3DNFR7BEU6

not attested not anchored not stored refs pending

The Classical Universes of the No-Boundary Quantum State

James B. Hartle, S. W. Hawking, Thomas Hertog

arxiv:0803.1663 v1 · 2008-03-11 · hep-th · astro-ph · 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{QLRSJTEJEIIJ5UQY3DNFR7BEU6}

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

4 papers in Pith

Inflation and topology from the no-boundary state

Ordering-Independent Wheeler-DeWitt Equation for Flat Minisuperspace Models

Quantum Liouville Cosmology

Inflation and topology from the no-boundary state

Receipt and verification

First computed	2026-07-04T15:29:53.332673Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

82e324cc8922109ed218d8da58fc24a785f0e123d46347c2a482300efe78886e

Aliases

arxiv: 0803.1663 · arxiv_version: 0803.1663v1 · doi: 10.48550/arxiv.0803.1663 · pith_short_12: QLRSJTEJEIIJ · pith_short_16: QLRSJTEJEIIJ5UQY · pith_short_8: QLRSJTEJ

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/QLRSJTEJEIIJ5UQY3DNFR7BEU6 \
  | 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: 82e324cc8922109ed218d8da58fc24a785f0e123d46347c2a482300efe78886e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "400837de6c1582376505c6467339953cf46a1756291e08ec4d5c531704e800b2",
    "cross_cats_sorted": [
      "astro-ph",
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2008-03-11T19:38:38Z",
    "title_canon_sha256": "32838da85da7ed310ca416b58c0c88b934f4e883c1972dacc34c2a821c09f09d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0803.1663",
    "kind": "arxiv",
    "version": 1
  }
}