Pith Number

pith:447WJ75B

pith:1997:447WJ75B5ZZZQNSD6NRILFVRZW

not attested not anchored not stored refs pending

Dark galaxies, spin bias and gravitational lenses

A.F. Heavens, M.R.S. Hawkins, P. Padoan, Raul Jimenez

arxiv:astro-ph/9709050 v1 · 1997-09-05 · 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{447WJ75B5ZZZQNSD6NRILFVRZW}

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	2026-05-18T01:22:58.621237Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e73f64ffa1ee73983643f3628596b1cdac9469735bca15529a923d554fa4d32c

Aliases

arxiv: astro-ph/9709050 · arxiv_version: astro-ph/9709050v1 · doi: 10.48550/arxiv.astro-ph/9709050 · pith_short_12: 447WJ75B5ZZZ · pith_short_16: 447WJ75B5ZZZQNSD · pith_short_8: 447WJ75B

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/447WJ75B5ZZZQNSD6NRILFVRZW \
  | 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: e73f64ffa1ee73983643f3628596b1cdac9469735bca15529a923d554fa4d32c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cc7660a575e3e9b3a9211b2bfeb43486927a5330496ca099927355303130aeb0",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "1997-09-05T12:08:01Z",
    "title_canon_sha256": "2de444ffff399ee805f72265bf3a0e0de371be4bdf9da4c04aaff9900934ab7d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "astro-ph/9709050",
    "kind": "arxiv",
    "version": 1
  }
}