Pith Number

pith:TMVFVDAQ

pith:2001:TMVFVDAQ4TGKDCU5GFWGCRYQQT

not attested not anchored not stored refs pending

Cosmological Parameter Determination from Counts of Galaxies

Bharat Ratra, Silviu Podariu

arxiv:astro-ph/0106549 v1 · 2001-06-29 · astro-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{TMVFVDAQ4TGKDCU5GFWGCRYQQT}

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	2026-05-18T04:17:53.948246Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9b2a5a8c10e4cca18a9d316c61471084dbeb76cc58e48dc9036b4fcd8c13a858

Aliases

arxiv: astro-ph/0106549 · arxiv_version: astro-ph/0106549v1 · doi: 10.48550/arxiv.astro-ph/0106549 · pith_short_12: TMVFVDAQ4TGK · pith_short_16: TMVFVDAQ4TGKDCU5 · pith_short_8: TMVFVDAQ

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/TMVFVDAQ4TGKDCU5GFWGCRYQQT \
  | 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: 9b2a5a8c10e4cca18a9d316c61471084dbeb76cc58e48dc9036b4fcd8c13a858

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "77c5d527952df5f8de5ec1763ccffd8e34757a9c19f77d80d0913dad057b0832",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "2001-06-29T02:56:20Z",
    "title_canon_sha256": "6f779e51782f822b547d55ec2293022c1ab5f7b35feb60926ec3167473c0c528"
  },
  "schema_version": "1.0",
  "source": {
    "id": "astro-ph/0106549",
    "kind": "arxiv",
    "version": 1
  }
}