Pith Number

pith:V4HLFL4W

pith:1992:V4HLFL4WPMTMYRQN7KWLORUOQO

not attested not anchored not stored refs pending

A Possible Solution to the Horizon Problem: The Mad Era for Massless Scalar Theories of Gravity

Janna J Levin, Katherine Freese

arxiv:astro-ph/9211011 v1 · 1992-11-17 · astro-ph · gr-qc · hep-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{V4HLFL4WPMTMYRQN7KWLORUOQO}

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	2026-07-04T15:54:48.026177Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

af0eb2af967b26cc460dfaacb7468e83bf6e05c81e9d06aabad38f5a9d797b1c

Aliases

arxiv: astro-ph/9211011 · arxiv_version: astro-ph/9211011v1 · doi: 10.48550/arxiv.astro-ph/9211011 · pith_short_12: V4HLFL4WPMTM · pith_short_16: V4HLFL4WPMTMYRQN · pith_short_8: V4HLFL4W

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/V4HLFL4WPMTMYRQN7KWLORUOQO \
  | 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: af0eb2af967b26cc460dfaacb7468e83bf6e05c81e9d06aabad38f5a9d797b1c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6288611b42d82e21397b6186dacc348246c85a091e47c3252ceab0456a86460b",
    "cross_cats_sorted": [
      "gr-qc",
      "hep-ph"
    ],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "1992-11-17T19:15:00Z",
    "title_canon_sha256": "c076123e88f23a371e0156cdfbebca7d178094506423874e8899740da244643d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "astro-ph/9211011",
    "kind": "arxiv",
    "version": 1
  }
}