Pith Number

pith:2GOV4AJX

pith:2005:2GOV4AJXRY3WFXFKNAJ37PHNCG

not attested not anchored not stored refs pending

A Snapshot Survey for Gravitational Lenses Among z>=4.0 Quasars: II. Constraints on the 4.0<z<4.5 Quasar Population

Bartosz Pindor, Daniel Eisenstein, Donald P. Schneider, Gordon T. Richards, J. Brinkmann, Masataka Fukugita, Michael A. Strauss, Neta A. Bahcall, Xiaohui Fan, Zoltan Haiman

arxiv:astro-ph/0509135 v1 · 2005-09-06 · 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{2GOV4AJXRY3WFXFKNAJ37PHNCG}

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	2026-05-18T04:36:29.739105Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d19d5e01378e3762dcaa6813bfbced11a9b9a934e9050becf8efa69c0e5fc1d5

Aliases

arxiv: astro-ph/0509135 · arxiv_version: astro-ph/0509135v1 · doi: 10.48550/arxiv.astro-ph/0509135 · pith_short_12: 2GOV4AJXRY3W · pith_short_16: 2GOV4AJXRY3WFXFK · pith_short_8: 2GOV4AJX

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/2GOV4AJXRY3WFXFKNAJ37PHNCG \
  | 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: d19d5e01378e3762dcaa6813bfbced11a9b9a934e9050becf8efa69c0e5fc1d5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9e14fccff651c667ac1c9235f6f4612a1df65e0f5f3883502e2b2dd36a73a961",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "2005-09-06T16:18:04Z",
    "title_canon_sha256": "31879579388df6ac821e18e5bb0d40e35987469dc5fbfd1e098641f76c8ccb41"
  },
  "schema_version": "1.0",
  "source": {
    "id": "astro-ph/0509135",
    "kind": "arxiv",
    "version": 1
  }
}