Pith Number

pith:TRTF6D2G

pith:2006:TRTF6D2GZXDMOQ3YM7ZNWGDOTR

not attested not anchored not stored refs pending

Close Galaxy Counts as a Probe of Hierarchical Structure Formation

Andrew R. Zentner, Elizabeth J. Barton, Heather D. Guenther, James S. Bullock, Joel C. Berrier, Risa H. Wechsler

arxiv:astro-ph/0604506 v3 · 2006-04-24 · 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{TRTF6D2GZXDMOQ3YM7ZNWGDOTR}

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	2026-05-18T04:29:04.825893Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9c665f0f46cdc6c7437867f2db186e9c48e7871f6e1c0883f4c5cc92522cfbfd

Aliases

arxiv: astro-ph/0604506 · arxiv_version: astro-ph/0604506v3 · doi: 10.48550/arxiv.astro-ph/0604506 · pith_short_12: TRTF6D2GZXDM · pith_short_16: TRTF6D2GZXDMOQ3Y · pith_short_8: TRTF6D2G

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/TRTF6D2GZXDMOQ3YM7ZNWGDOTR \
  | 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: 9c665f0f46cdc6c7437867f2db186e9c48e7871f6e1c0883f4c5cc92522cfbfd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9faba10dceeba5b4499958a223114967847260a04c0ecc8c9c217fc15fb68353",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "2006-04-24T22:40:19Z",
    "title_canon_sha256": "f195d4ec2fc622054a4e4c5f932b6191901400c7d4fbe866b555f87363815203"
  },
  "schema_version": "1.0",
  "source": {
    "id": "astro-ph/0604506",
    "kind": "arxiv",
    "version": 3
  }
}