Pith Number

pith:WZLGJ7BG

pith:1999:WZLGJ7BGPV4DUJTZCALG5CPZZ2

not attested not anchored not stored refs pending

Can Geodesics in Extra Dimensions Solve the Cosmological Horizon Problem?

Daniel J. H. Chung, Katherine Freese

arxiv:hep-ph/9910235 v2 · 1999-10-05 · 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{WZLGJ7BGPV4DUJTZCALG5CPZZ2}

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	2026-05-18T01:06:05.431236Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b65664fc267d783a267910166e89f9ceba3d3f728c5233b31db2382beafa38c1

Aliases

arxiv: hep-ph/9910235 · arxiv_version: hep-ph/9910235v2 · doi: 10.48550/arxiv.hep-ph/9910235 · pith_short_12: WZLGJ7BGPV4D · pith_short_16: WZLGJ7BGPV4DUJTZ · pith_short_8: WZLGJ7BG

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/WZLGJ7BGPV4DUJTZCALG5CPZZ2 \
  | 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: b65664fc267d783a267910166e89f9ceba3d3f728c5233b31db2382beafa38c1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "44363f9bba2dd0e7f04c59351afa9187c5c7be574e4f18b6033b439224f90687",
    "cross_cats_sorted": [
      "astro-ph",
      "hep-th"
    ],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "1999-10-05T22:56:01Z",
    "title_canon_sha256": "9b51d3abf0666be0c56c93449558f12c98516d0d5abe94f25edd4b17457f4b6b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/9910235",
    "kind": "arxiv",
    "version": 2
  }
}