Pith Number

pith:YVSWKA56

pith:1994:YVSWKA56LLHEDRKC3VH3O7T6VW

not attested not anchored not stored refs pending

Approaches to Quantum Cosmology

Alexander Vilenkin

arxiv:gr-qc/9403010 v1 · 1994-03-02 · gr-qc · hep-th

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YVSWKA56LLHEDRKC3VH3O7T6VW}

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

Boundary conditions and Hilbert spaces in no-roll quantum cosmology

Receipt and verification

First computed	2026-07-04T17:25:35.857788Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c5656503be5ace41c542dd4fb77e7eada3c32a90155c6678c8c913042fab0f84

Aliases

arxiv: gr-qc/9403010 · arxiv_version: gr-qc/9403010v1 · doi: 10.48550/arxiv.gr-qc/9403010 · pith_short_12: YVSWKA56LLHE · pith_short_16: YVSWKA56LLHEDRKC · pith_short_8: YVSWKA56

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/YVSWKA56LLHEDRKC3VH3O7T6VW \
  | 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: c5656503be5ace41c542dd4fb77e7eada3c32a90155c6678c8c913042fab0f84

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0e6060ee35478d7bfcf76f20b5d8da23d3f8ebc9b04ff6f6dd7efa4b3ac28c17",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "1994-03-02T20:35:00Z",
    "title_canon_sha256": "4bcd7609c02bd40033c211f9d54fe97e2d889347968bd000f496d72c7da3fe11"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/9403010",
    "kind": "arxiv",
    "version": 1
  }
}