Pith Number

pith:2Y6WHGUN

pith:2002:2Y6WHGUNTZNL6WSHEXA6HQUYQH

not attested not anchored not stored refs pending

A Constraint on the Gravitational Lensing Magnification and Age of the Redshift z=6.28 Quasar SDSS 1030+0524

Renyue Cen (Princeton University), Zoltan Haiman

arxiv:astro-ph/0205143 v1 · 2002-05-09 · 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{2Y6WHGUNTZNL6WSHEXA6HQUYQH}

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	2026-07-04T16:29:59.553592Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d63d639a8d9e5abf5a4725c1e3c29881f364d413a4369c46a98d986be65d3c45

Aliases

arxiv: astro-ph/0205143 · arxiv_version: astro-ph/0205143v1 · doi: 10.48550/arxiv.astro-ph/0205143 · pith_short_12: 2Y6WHGUNTZNL · pith_short_16: 2Y6WHGUNTZNL6WSH · pith_short_8: 2Y6WHGUN

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/2Y6WHGUNTZNL6WSHEXA6HQUYQH \
  | 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: d63d639a8d9e5abf5a4725c1e3c29881f364d413a4369c46a98d986be65d3c45

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0c1dee6e557a9092033d49df41b61aa03f2981738a3bf2e2ddc7e41e1d755d6d",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "2002-05-09T20:06:19Z",
    "title_canon_sha256": "11271288580364401ef6c3f7f8fef67efe3127e5644e275fe2f3b48e276b8151"
  },
  "schema_version": "1.0",
  "source": {
    "id": "astro-ph/0205143",
    "kind": "arxiv",
    "version": 1
  }
}