Pith Number

pith:NQDYA2W7

pith:2006:NQDYA2W7M5IJQYTVTW4CK7IG72

not attested not anchored not stored refs pending

Evolution of the K-band Galaxy Cluster Luminosity Function and Scaling Relations

2), (2) Pontificia Universidad Catolica de Chile, (3) University of Illinois, (4) University of Florida, (5) University of California, 6) ((1) Princeton University, (6) LLNL), Anthony H. Gonzalez (4), Davis, Joseph J. Mohr (3), S. Adam Stanford (5, Yen-Ting Lin (1

arxiv:astro-ph/0609169 v1 · 2006-09-06 · 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{NQDYA2W7M5IJQYTVTW4CK7IG72}

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	2026-05-18T04:36:20.969979Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6c07806adf67509862759db8257d06feb7b75505674d734e7b74c9a1988dc332

Aliases

arxiv: astro-ph/0609169 · arxiv_version: astro-ph/0609169v1 · doi: 10.48550/arxiv.astro-ph/0609169 · pith_short_12: NQDYA2W7M5IJ · pith_short_16: NQDYA2W7M5IJQYTV · pith_short_8: NQDYA2W7

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/NQDYA2W7M5IJQYTVTW4CK7IG72 \
  | 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: 6c07806adf67509862759db8257d06feb7b75505674d734e7b74c9a1988dc332

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3fbad2ce1fdfe814e1e74c550b041305ace57c941ffa874f9a661639d4d7dd76",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "2006-09-06T20:00:03Z",
    "title_canon_sha256": "236200906179b4f827a31c9ba6a983a84809d7233334bf182e3bd753db50c766"
  },
  "schema_version": "1.0",
  "source": {
    "id": "astro-ph/0609169",
    "kind": "arxiv",
    "version": 1
  }
}