Pith Number

pith:7B75Q44I

pith:2000:7B75Q44I2ZJGU6OFG37EOLZ5UA

not attested not anchored not stored refs pending

Weak lensing study of low mass galaxy groups: implications for Omega_m

D.R. Patton, G.D. Wirth, H. Hoekstra, H.K.C. Yee, H. Lin, K. Kuijken, M. Franx, M. Sawicki, P.B. Hall, R.G. Carlberg, S.L. Morris

arxiv:astro-ph/0012169 v1 · 2000-12-07 · 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{7B75Q44I2ZJGU6OFG37EOLZ5UA}

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	2026-07-04T16:17:45.193684Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f87fd87388d6526a79c536fe472f3da0195a1a5cf816a72506c395813f98effe

Aliases

arxiv: astro-ph/0012169 · arxiv_version: astro-ph/0012169v1 · doi: 10.48550/arxiv.astro-ph/0012169 · pith_short_12: 7B75Q44I2ZJG · pith_short_16: 7B75Q44I2ZJGU6OF · pith_short_8: 7B75Q44I

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/7B75Q44I2ZJGU6OFG37EOLZ5UA \
  | 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: f87fd87388d6526a79c536fe472f3da0195a1a5cf816a72506c395813f98effe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e922a8c48aceb0d8499b7f793224503684c3eafe1e3c7e45e1b96051587b6237",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "2000-12-07T21:10:17Z",
    "title_canon_sha256": "2002a08defc125a79ae6816cb42664cee6260f04d9123e7116449651bd8fc229"
  },
  "schema_version": "1.0",
  "source": {
    "id": "astro-ph/0012169",
    "kind": "arxiv",
    "version": 1
  }
}