Pith Number

pith:RJK2QC2H

pith:2009:RJK2QC2HKLPC47XWQBF6R7MHNB

not attested not anchored not stored refs pending

Galaxy Number Counts and Implications for Strong Lensing

C. D. Fassnacht (UC Davis), K. C. Wong (UC Davis, L. V. E. Koopmans (Kapteyn Institute), U. Arizona)

arxiv:0909.4301 v2 · 2009-09-23 · astro-ph.CO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RJK2QC2HKLPC47XWQBF6R7MHNB}

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	2026-05-18T04:25:01.847392Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8a55a80b4752de2e7ef6804be8fd8768440cee20844ba4b6e0909bf37c87a30e

Aliases

arxiv: 0909.4301 · arxiv_version: 0909.4301v2 · doi: 10.48550/arxiv.0909.4301 · pith_short_12: RJK2QC2HKLPC · pith_short_16: RJK2QC2HKLPC47XW · pith_short_8: RJK2QC2H

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/RJK2QC2HKLPC47XWQBF6R7MHNB \
  | 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: 8a55a80b4752de2e7ef6804be8fd8768440cee20844ba4b6e0909bf37c87a30e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "334fdc428cbd1ac695e5a5983e1da42b11837e6bc60b39e8253bbb2e27a6d236",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2009-09-23T21:44:51Z",
    "title_canon_sha256": "c4fe85fb20d56c4ae64c255d9c76d60518dc672461ccfb4920110e031bc5cd9a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0909.4301",
    "kind": "arxiv",
    "version": 2
  }
}