Pith Number

pith:AW2S5IRH

pith:2009:AW2S5IRH7VVRJUGXCE4YXTMO2J

not attested not anchored not stored refs pending

Gravitational Lensing of Anisotropic Sources

Charles R. Keeton (Rutgers), Rosalba Perna (JILA/Colorado)

arxiv:0904.3935 v2 · 2009-04-24 · 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{AW2S5IRH7VVRJUGXCE4YXTMO2J}

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	2026-05-18T02:13:57.458355Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

05b52ea227fd6b14d0d711398bcd8ed27390b67f744aab358b411ccd6eca801c

Aliases

arxiv: 0904.3935 · arxiv_version: 0904.3935v2 · doi: 10.48550/arxiv.0904.3935 · pith_short_12: AW2S5IRH7VVR · pith_short_16: AW2S5IRH7VVRJUGX · pith_short_8: AW2S5IRH

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/AW2S5IRH7VVRJUGXCE4YXTMO2J \
  | 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: 05b52ea227fd6b14d0d711398bcd8ed27390b67f744aab358b411ccd6eca801c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9dde982e759f847ff77c1429d43c8a94f288cc939730e2fa97a1f9a5375d365b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2009-04-24T20:05:17Z",
    "title_canon_sha256": "c535d68c5a2d16e8d01e1b291e763ec302711afaa89b1a4f6cc6f32b6ae41099"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0904.3935",
    "kind": "arxiv",
    "version": 2
  }
}