Pith Number

pith:5FUAKLND

pith:1995:5FUAKLNDN2YEMLV5VLQUUBFSZN

not attested not anchored not stored refs pending

Cosmological parameters and the redshift distribution of gravitational lenses

Phillip Helbig, Rainer Kayser (Hamburg Observatory)

arxiv:astro-ph/9501013 v2 · 1995-01-05 · 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{5FUAKLNDN2YEMLV5VLQUUBFSZN}

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	2026-05-18T04:21:41.105178Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e968052da36eb0462ebdaae14a04b2cb6bb9391d45468a24bd50d5a703029492

Aliases

arxiv: astro-ph/9501013 · arxiv_version: astro-ph/9501013v2 · doi: 10.48550/arxiv.astro-ph/9501013 · pith_short_12: 5FUAKLNDN2YE · pith_short_16: 5FUAKLNDN2YEMLV5 · pith_short_8: 5FUAKLND

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/5FUAKLNDN2YEMLV5VLQUUBFSZN \
  | 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: e968052da36eb0462ebdaae14a04b2cb6bb9391d45468a24bd50d5a703029492

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "55c2217af8a42789765826db8e503c89c3ab98b0f53014678d41f3043102cbb5",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "1995-01-05T10:26:53Z",
    "title_canon_sha256": "e583e3c0ed7a8a7bac2fdde83d925f966e522fd357b56321fc408ecd053798cf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "astro-ph/9501013",
    "kind": "arxiv",
    "version": 2
  }
}