Pith Number

pith:X6JKX7OF

pith:1996:X6JKX7OFKGWTNRH4N3Q7LAWBVW

not attested not anchored not stored refs pending

A general and practical method for calculating cosmological distances

Phillip Helbig, Rainer Kayser, Thomas Schramm (Hamburg Observatory)

arxiv:astro-ph/9603028 v3 · 1996-03-07 · 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{X6JKX7OFKGWTNRH4N3Q7LAWBVW}

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	2026-05-18T01:07:41.104639Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bf92abfdc551ad36c4fc6ee1f582c1ad96959ce5ea17bba1aea6d5924f50b74a

Aliases

arxiv: astro-ph/9603028 · arxiv_version: astro-ph/9603028v3 · doi: 10.48550/arxiv.astro-ph/9603028 · pith_short_12: X6JKX7OFKGWT · pith_short_16: X6JKX7OFKGWTNRH4 · pith_short_8: X6JKX7OF

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/X6JKX7OFKGWTNRH4N3Q7LAWBVW \
  | 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: bf92abfdc551ad36c4fc6ee1f582c1ad96959ce5ea17bba1aea6d5924f50b74a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6d4aef764d7abaa068d80f223ff62b59dd633bfd4185283b21ebff803e6af280",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "1996-03-07T09:45:29Z",
    "title_canon_sha256": "f9b2461779fcab163c49ffa79313b52123310e8435c5073a7e55d3d660c29aad"
  },
  "schema_version": "1.0",
  "source": {
    "id": "astro-ph/9603028",
    "kind": "arxiv",
    "version": 3
  }
}