Pith Number

pith:HB5NA2BH

pith:1999:HB5NA2BHBG45GVM35WP3TIZMMC

not attested not anchored not stored refs pending

Observation of Cosmic Acceleration and Determining the Fate of the Universe

Glenn Starkman, Mark Trodden, Tanmay Vachaspati

arxiv:astro-ph/9901405 v4 · 1999-01-29 · 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{HB5NA2BHBG45GVM35WP3TIZMMC}

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	2026-07-04T16:10:39.859021Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

387ad0682709b9d3559bed9fb9a32c6089cc91a866387f6ef88e6f4a467193c0

Aliases

arxiv: astro-ph/9901405 · arxiv_version: astro-ph/9901405v4 · doi: 10.48550/arxiv.astro-ph/9901405 · pith_short_12: HB5NA2BHBG45 · pith_short_16: HB5NA2BHBG45GVM3 · pith_short_8: HB5NA2BH

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/HB5NA2BHBG45GVM35WP3TIZMMC \
  | 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: 387ad0682709b9d3559bed9fb9a32c6089cc91a866387f6ef88e6f4a467193c0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d5afd8a15165ba919aef293099b08a4097293519729be73535000d2f97b060b8",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "1999-01-29T00:03:51Z",
    "title_canon_sha256": "7c5e93667d90566255da60885197c3989b3d5a2ee69a1289df8c98972b56981d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "astro-ph/9901405",
    "kind": "arxiv",
    "version": 4
  }
}