Pith Number

pith:RLUT2TLN

pith:2001:RLUT2TLN2Z2WYMING5HJFEBM54

not attested not anchored not stored refs pending

B1422+231: The influence of mass substructure on strong lensing

(2) Steward Observatory, 3), (3) MPA Garching, (4) MPI Bonn), L. J. King (1, M. Bradac (1), M. Lombardi (1), M. Steinmetz (2), P. Schneider (1), R. Porcas (4) ((1) IAEF Bonn

arxiv:astro-ph/0112038 v2 · 2001-12-03 · 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{RLUT2TLN2Z2WYMING5HJFEBM54}

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	2026-07-04T16:24:34.045294Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8ae93d4d6dd6756c310d374e92902cef3dbad3f395d0bd0eccac5db55df1bdd0

Aliases

arxiv: astro-ph/0112038 · arxiv_version: astro-ph/0112038v2 · doi: 10.48550/arxiv.astro-ph/0112038 · pith_short_12: RLUT2TLN2Z2W · pith_short_16: RLUT2TLN2Z2WYMIN · pith_short_8: RLUT2TLN

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/RLUT2TLN2Z2WYMING5HJFEBM54 \
  | 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: 8ae93d4d6dd6756c310d374e92902cef3dbad3f395d0bd0eccac5db55df1bdd0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "67afa8ad2a77fd891005ee0513094c82ad64eb327613703278fecca86cc26514",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "2001-12-03T18:37:50Z",
    "title_canon_sha256": "2ff69499728262d7c487b1c3f0d5f80b2991f5ec9a6f77a0fc8102cb1bab72f6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "astro-ph/0112038",
    "kind": "arxiv",
    "version": 2
  }
}