Pith Number

pith:BGP5GHWH

pith:1998:BGP5GHWHQGFAKUQQKGPWIVLJV3

not attested not anchored not stored refs pending

Varying-$\alpha $ Theories and Solutions to the Cosmological Problems

Joao Magueijo, John D. Barrow

arxiv:astro-ph/9811072 v1 · 1998-11-04 · astro-ph · 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{BGP5GHWHQGFAKUQQKGPWIVLJV3}

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	2026-07-04T16:07:09.815524Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

099fd31ec7818a055210519f645569aec5254d7783b1a0d88d12170ae85ea96b

Aliases

arxiv: astro-ph/9811072 · arxiv_version: astro-ph/9811072v1 · doi: 10.48550/arxiv.astro-ph/9811072 · pith_short_12: BGP5GHWHQGFA · pith_short_16: BGP5GHWHQGFAKUQQ · pith_short_8: BGP5GHWH

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/BGP5GHWHQGFAKUQQKGPWIVLJV3 \
  | 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: 099fd31ec7818a055210519f645569aec5254d7783b1a0d88d12170ae85ea96b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "703dc1e70b28c99975041390476fc33f389b3365ed22649d1f3d702150612e94",
    "cross_cats_sorted": [
      "gr-qc",
      "hep-th"
    ],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "1998-11-04T12:28:58Z",
    "title_canon_sha256": "10ce25d7be2a5ab47b5008fd6f94264d89e5b132648460b7d90f60f12ceb45db"
  },
  "schema_version": "1.0",
  "source": {
    "id": "astro-ph/9811072",
    "kind": "arxiv",
    "version": 1
  }
}