Pith Number

pith:G4GB7XKJ

pith:2011:G4GB7XKJBZXTE7WEAVKW7NZDI7

not attested not anchored not stored refs pending

The luminosities of the brightest cluster galaxies and brightest satellites in SDSS groups

Aseem Paranjape (ICTP), Ravi K. Sheth (ICTP, U.Penn)

arxiv:1107.3652 v2 · 2011-07-19 · 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{G4GB7XKJBZXTE7WEAVKW7NZDI7}

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	2026-05-18T03:53:20.433902Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

370c1fdd490e6f327ec405556fb72347e604c8413480dc312714dbed3ccb7447

Aliases

arxiv: 1107.3652 · arxiv_version: 1107.3652v2 · doi: 10.48550/arxiv.1107.3652 · pith_short_12: G4GB7XKJBZXT · pith_short_16: G4GB7XKJBZXTE7WE · pith_short_8: G4GB7XKJ

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/G4GB7XKJBZXTE7WEAVKW7NZDI7 \
  | 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: 370c1fdd490e6f327ec405556fb72347e604c8413480dc312714dbed3ccb7447

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ff350d8bea95ec29768aae5c64045f2c8faaa39fa26f248fa27627f8e84bf150",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2011-07-19T09:04:47Z",
    "title_canon_sha256": "a67b3b0b76071d2d630aeae6a603e783396a3fa8ca476c0c32eb637350a0fb19"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.3652",
    "kind": "arxiv",
    "version": 2
  }
}