Pith Number

pith:D3KUKTWZ

pith:2001:D3KUKTWZJKIYFDEP76JNDMX4PE

not attested not anchored not stored refs pending

Investigation of Gravitational Lens Mass Models

Adam Knudson, Kavan U. Ratnatunga, Richard E. Griffith (Carnegie Mellon University)

arxiv:astro-ph/0104123 v1 · 2001-04-06 · 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{D3KUKTWZJKIYFDEP76JNDMX4PE}

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.

Cited by

1 paper in Pith

From Matter Density to Deflection Angle and Gravitational Lensing Using a Perturbative Method

Receipt and verification

First computed	2026-07-04T16:23:00.523117Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1ed5454ed94a91828c8fff92d1b2fc791f2209e362b0b483813db00f576d772c

Aliases

arxiv: astro-ph/0104123 · arxiv_version: astro-ph/0104123v1 · doi: 10.48550/arxiv.astro-ph/0104123 · pith_short_12: D3KUKTWZJKIY · pith_short_16: D3KUKTWZJKIYFDEP · pith_short_8: D3KUKTWZ

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/D3KUKTWZJKIYFDEP76JNDMX4PE \
  | 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: 1ed5454ed94a91828c8fff92d1b2fc791f2209e362b0b483813db00f576d772c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "54defaea1d1dcc7138f609764f10deb85ec8a2bf4e3c6c0457d80730d80b95f6",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "2001-04-06T20:05:51Z",
    "title_canon_sha256": "c5869288abd19444b00eb70f4849443c9f9997af39aae8fc67a762949ee77876"
  },
  "schema_version": "1.0",
  "source": {
    "id": "astro-ph/0104123",
    "kind": "arxiv",
    "version": 1
  }
}