Pith Number

pith:TGRNMKDK

pith:1999:TGRNMKDKUBZUDXWTCB5XU7JWX4

not attested not anchored not stored refs pending

Gravitational Lensing by NFW Halos

Candace Oaxaca Wright & Tereasa G. Brainerd

arxiv:astro-ph/9908213 v1 · 1999-08-19 · 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{TGRNMKDKUBZUDXWTCB5XU7JWX4}

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

Weak-Lensing Analysis of the Galaxy Cluster Abell 85: Constraints on the Merger Scenarios of Its Southern Subcluster

Receipt and verification

First computed	2026-07-04T14:17:03.227079Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

99a2d6286aa07341ded3107b7a7d36bf204c3fe0a27610efc6ad37485d2a4040

Aliases

arxiv: astro-ph/9908213 · arxiv_version: astro-ph/9908213v1 · doi: 10.48550/arxiv.astro-ph/9908213 · pith_short_12: TGRNMKDKUBZU · pith_short_16: TGRNMKDKUBZUDXWT · pith_short_8: TGRNMKDK

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/TGRNMKDKUBZUDXWTCB5XU7JWX4 \
  | 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: 99a2d6286aa07341ded3107b7a7d36bf204c3fe0a27610efc6ad37485d2a4040

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "56fd93d99a700a2189fbd7737ce4788532acf7219e29f22f5fecc278bb6c9ada",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "1999-08-19T13:16:51Z",
    "title_canon_sha256": "dab93dad2c11bc52eff8a9d862ce4c1abaa0aa3cd36c6196e172863ff9e71a8a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "astro-ph/9908213",
    "kind": "arxiv",
    "version": 1
  }
}