Pith Number

pith:X47DOR5E

pith:2006:X47DOR5EA5CHJHRXGODJ4BPJ75

not attested not anchored not stored refs pending

Probing the Coevolution of Supermassive Black Holes and Galaxies Using Gravitationally Lensed Quasar Hosts

(2) Steward Observatory, (3) Max Planck Institut Fur Astronomie, (4) Ohio State University, (5) Rutgers University, (6) Harvard-Smithsonian Center for Astrophysics, (7) CombinatoRx), & B. A. McLeod (6) ((1) Space Telescope Science Institute, C. D. Impey (2), C. R. Keeton (5), C. S. Kochanek (4), C. Y. Peng (1), E. E. Falco (6), H.-W. Rix (3), J. Lehar (7), University of Arizona

arxiv:astro-ph/0603248 v3 · 2006-03-09 · 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{X47DOR5EA5CHJHRXGODJ4BPJ75}

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.

Cited by

1 paper in Pith

Gravitational Lensing by Black Holes in Einstein-nonlinear Electrodynamic Theories with Multiple Photon Spheres

Receipt and verification

First computed	2026-07-04T17:25:16.325928Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bf3e3747a40744749e3733869e05e9ff707127ebe04773ab29612e100553fbe3

Aliases

arxiv: astro-ph/0603248 · arxiv_version: astro-ph/0603248v3 · doi: 10.48550/arxiv.astro-ph/0603248 · pith_short_12: X47DOR5EA5CH · pith_short_16: X47DOR5EA5CHJHRX · pith_short_8: X47DOR5E

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/X47DOR5EA5CHJHRXGODJ4BPJ75 \
  | 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: bf3e3747a40744749e3733869e05e9ff707127ebe04773ab29612e100553fbe3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "613cf537aee8e1327a60fc0a96101ba8362db9d9831af447c450ba3edea56dd4",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "2006-03-09T20:37:52Z",
    "title_canon_sha256": "2c9652361f5ede7f7f972d130f72aaa6beaec8c9bbd804cb27402956c1013194"
  },
  "schema_version": "1.0",
  "source": {
    "id": "astro-ph/0603248",
    "kind": "arxiv",
    "version": 3
  }
}