Pith Number

pith:U4W5Z33U

pith:2003:U4W5Z33UPXH3PKNWKPQCWI3SZJ

not attested not anchored not stored refs pending

Loop Quantum Cosmology, Boundary Proposals, and Inflation

Kevin Vandersloot, Martin Bojowald

arxiv:gr-qc/0303072 v1 · 2003-03-19 · gr-qc · astro-ph · 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{U4W5Z33UPXH3PKNWKPQCWI3SZJ}

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

Quasinormal modes of a rotating loop quantum black hole

Receipt and verification

First computed	2026-07-04T16:40:10.781101Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a72ddcef747dcfb7a9b653e02b2372ca4e1c1530bdb124ec30e190ba693c9fa9

Aliases

arxiv: gr-qc/0303072 · arxiv_version: gr-qc/0303072v1 · doi: 10.48550/arxiv.gr-qc/0303072 · pith_short_12: U4W5Z33UPXH3 · pith_short_16: U4W5Z33UPXH3PKNW · pith_short_8: U4W5Z33U

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/U4W5Z33UPXH3PKNWKPQCWI3SZJ \
  | 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: a72ddcef747dcfb7a9b653e02b2372ca4e1c1530bdb124ec30e190ba693c9fa9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f1a3eb05ed9b425ba638eb6a27efcd157081a464bfd8c00f809c2f1e9f543d3a",
    "cross_cats_sorted": [
      "astro-ph",
      "hep-th"
    ],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "2003-03-19T18:52:19Z",
    "title_canon_sha256": "09ded40044c5a51da9e1209dbb419166ed3b2e4cf878e1fa977f333303593cab"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/0303072",
    "kind": "arxiv",
    "version": 1
  }
}