Pith Number

pith:ZAITWESZ

pith:2001:ZAITWESZO6Q6CQTSMJLPKDW2M5

not attested not anchored not stored refs pending

Cusped Mass Models Of Gravitational Lenses

C.R. Keeton (Arizona), C.S. Kochanek (CfA), J.A. Munoz (IAC)

arxiv:astro-ph/0103009 v1 · 2001-03-01 · 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{ZAITWESZO6Q6CQTSMJLPKDW2M5}

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	2026-07-04T16:22:48.212730Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c8113b125977a1e142726256f50eda674507afb107fda65d2b2c01a0a29ff28c

Aliases

arxiv: astro-ph/0103009 · arxiv_version: astro-ph/0103009v1 · doi: 10.48550/arxiv.astro-ph/0103009 · pith_short_12: ZAITWESZO6Q6 · pith_short_16: ZAITWESZO6Q6CQTS · pith_short_8: ZAITWESZ

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/ZAITWESZO6Q6CQTSMJLPKDW2M5 \
  | 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: c8113b125977a1e142726256f50eda674507afb107fda65d2b2c01a0a29ff28c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f00f2977a7dde205fc06aa6a057644c27ba0c65c1dae1df341333ab801cecaeb",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "2001-03-01T13:21:09Z",
    "title_canon_sha256": "bfe7516e042f6a197ff337c8fb828355230551a39c9339b2872fd67ed845386b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "astro-ph/0103009",
    "kind": "arxiv",
    "version": 1
  }
}