Pith Number

pith:A6U2FPN5

pith:1995:A6U2FPN5AXK5HMK34L7TNPDKZX

not attested not anchored not stored refs pending

Volume Expansion Rate and The Age of The Universe

Ken-ichi Nakao, Takashi Nakamura, Takeshi Chiba, Tetsuya Shiromizu

arxiv:astro-ph/9507085 v1 · 1995-07-22 · astro-ph · gr-qc

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{A6U2FPN5AXK5HMK34L7TNPDKZX}

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	2026-05-18T01:12:44.123662Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

07a9a2bdbd05d5d3b15be2ff36bc6acde1d583265b80944b66aafc2cf07e3090

Aliases

arxiv: astro-ph/9507085 · arxiv_version: astro-ph/9507085v1 · doi: 10.48550/arxiv.astro-ph/9507085 · pith_short_12: A6U2FPN5AXK5 · pith_short_16: A6U2FPN5AXK5HMK3 · pith_short_8: A6U2FPN5

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/A6U2FPN5AXK5HMK34L7TNPDKZX \
  | 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: 07a9a2bdbd05d5d3b15be2ff36bc6acde1d583265b80944b66aafc2cf07e3090

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "90ffed6504bb774ccb956964878d70786853967ab5275867a6bc563dd6c42e33",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "1995-07-22T12:41:06Z",
    "title_canon_sha256": "d63b54117a12a99bd5b14865912dc43fdfc84b5099cfe1c48d5f7e4675d62707"
  },
  "schema_version": "1.0",
  "source": {
    "id": "astro-ph/9507085",
    "kind": "arxiv",
    "version": 1
  }
}