Pith Number

pith:Y5W6O4C6

pith:1999:Y5W6O4C6LXU25TJIVLMWWRMUD3

not attested not anchored not stored refs pending

Cosmological Expansion in the Presence of an Extra Dimension

Christophe Grojean, Geraldine Servant, James M. Cline

arxiv:hep-ph/9906523 v4 · 1999-06-28 · hep-ph · 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{Y5W6O4C6LXU25TJIVLMWWRMUD3}

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	2026-07-04T16:14:21.733374Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c76de7705e5de9aecd28aad96b45941ed92f5ba72ec22b4dccb4a95a95f1ca61

Aliases

arxiv: hep-ph/9906523 · arxiv_version: hep-ph/9906523v4 · doi: 10.48550/arxiv.hep-ph/9906523 · pith_short_12: Y5W6O4C6LXU2 · pith_short_16: Y5W6O4C6LXU25TJI · pith_short_8: Y5W6O4C6

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/Y5W6O4C6LXU25TJIVLMWWRMUD3 \
  | 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: c76de7705e5de9aecd28aad96b45941ed92f5ba72ec22b4dccb4a95a95f1ca61

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5189199067119dce827e9284ad54e5bfeaadfc64ebe9cc5e37e57e05d3ed6bc6",
    "cross_cats_sorted": [
      "astro-ph",
      "hep-th"
    ],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "1999-06-28T15:54:56Z",
    "title_canon_sha256": "edd5ba401f8891ad95f39544ccadeff7b5744d3703cf4201542375d221022665"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/9906523",
    "kind": "arxiv",
    "version": 4
  }
}