Pith Number

pith:LRQ3NKU2

pith:1998:LRQ3NKU2AUAARWW6MXVJCH3DWR

not attested not anchored not stored refs pending

Observational Constraints On Power-Law Cosmologies

G. Steigman, I. Tkachev, M. Kaplinghat, T. P. Walker

arxiv:astro-ph/9805114 v1 · 1998-05-08 · astro-ph · 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{LRQ3NKU2AUAARWW6MXVJCH3DWR}

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	2026-05-18T01:08:08.044267Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5c61b6aa9a050008dade65ea911f63b454a25c69fb2a2a12f8d395b41e08718c

Aliases

arxiv: astro-ph/9805114 · arxiv_version: astro-ph/9805114v1 · doi: 10.48550/arxiv.astro-ph/9805114 · pith_short_12: LRQ3NKU2AUAA · pith_short_16: LRQ3NKU2AUAARWW6 · pith_short_8: LRQ3NKU2

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/LRQ3NKU2AUAARWW6MXVJCH3DWR \
  | 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: 5c61b6aa9a050008dade65ea911f63b454a25c69fb2a2a12f8d395b41e08718c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "74f59756fc988cab1f14af996e86441f0ab439051a8eff7dddc602ef2737aec3",
    "cross_cats_sorted": [
      "hep-ph"
    ],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "1998-05-08T20:21:12Z",
    "title_canon_sha256": "1099ab8aefbd4770de6a924e8d1441e85902ba7cfdbb6db4aae3583fd38d5561"
  },
  "schema_version": "1.0",
  "source": {
    "id": "astro-ph/9805114",
    "kind": "arxiv",
    "version": 1
  }
}