Pith Number

pith:QVSBETUW

pith:2011:QVSBETUWVTK6SNQP5VP7ZUFWIN

not attested not anchored not stored refs pending

Gravitational Lens Modeling with Genetic Algorithms and Particle Swarm Optimizers

Adam Rogers, Jason D. Fiege

arxiv:1101.5803 v1 · 2011-01-30 · astro-ph.CO · astro-ph.GA · astro-ph.IM

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QVSBETUWVTK6SNQP5VP7ZUFWIN}

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	2026-05-18T02:03:20.361326Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8564124e96acd5e9360fed5ffcd0b64341545afdf4b5d4894f1e2b13b66b6a4e

Aliases

arxiv: 1101.5803 · arxiv_version: 1101.5803v1 · doi: 10.48550/arxiv.1101.5803 · pith_short_12: QVSBETUWVTK6 · pith_short_16: QVSBETUWVTK6SNQP · pith_short_8: QVSBETUW

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/QVSBETUWVTK6SNQP5VP7ZUFWIN \
  | 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: 8564124e96acd5e9360fed5ffcd0b64341545afdf4b5d4894f1e2b13b66b6a4e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c83fd3685266eed33858167ba1b2656e75acd697a1fc17cf8c87eee8e2f5651e",
    "cross_cats_sorted": [
      "astro-ph.GA",
      "astro-ph.IM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2011-01-30T19:10:06Z",
    "title_canon_sha256": "4f1364b17bbabf7e185943e7577f7c502d7b8d19972c1d8710f8b1f5bfa3ecae"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.5803",
    "kind": "arxiv",
    "version": 1
  }
}