Pith Number

pith:2ASCXBE5

pith:1999:2ASCXBE5YTK6W4LHRALQAAL6CE

not attested not anchored not stored refs pending

Lambda_0 and Omega_0 from Lensing Statistics and Other Methods: Is There a Conflict?

2), Althea Wilkinson (1), Hamburg Observatory), Juan Francisco Macias-Perez (1), KAI, NRAL, Phillip Helbig (1, Ralf Quast (3), Rod Davies (1) ((1) University of Manchester, The Netherlands; (3) University of Hamburg, UK; (2) University of Groningen

arxiv:astro-ph/9909375 v1 · 1999-09-22 · 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{2ASCXBE5YTK6W4LHRALQAAL6CE}

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	2026-05-18T02:14:08.855536Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d0242b849dc4d5eb7167881700017e1103e468f2bb7974d2d4daae578a8096a0

Aliases

arxiv: astro-ph/9909375 · arxiv_version: astro-ph/9909375v1 · doi: 10.48550/arxiv.astro-ph/9909375 · pith_short_12: 2ASCXBE5YTK6 · pith_short_16: 2ASCXBE5YTK6W4LH · pith_short_8: 2ASCXBE5

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/2ASCXBE5YTK6W4LHRALQAAL6CE \
  | 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: d0242b849dc4d5eb7167881700017e1103e468f2bb7974d2d4daae578a8096a0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3d53123a675421e4a0ade9a095eb7aa856d4bdb8a474a63bab8067a4bc24a85e",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "1999-09-22T13:20:45Z",
    "title_canon_sha256": "aa4c442f857ce685ec84dd54556227935589de1c72632eea7b9e545287583280"
  },
  "schema_version": "1.0",
  "source": {
    "id": "astro-ph/9909375",
    "kind": "arxiv",
    "version": 1
  }
}