Pith Number

pith:FNBHJO43

pith:1998:FNBHJO43WNRYPWQNR6HC6VOZWY

not attested not anchored not stored refs pending

Cosmological Parameters from Multiple-arc Gravitational Lensing Systems I: smooth lensing potentials

Michael J. Pierce, Robert Link

arxiv:astro-ph/9802207 v1 · 1998-02-14 · 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{FNBHJO43WNRYPWQNR6HC6VOZWY}

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	2026-07-04T16:06:10.466094Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2b4274bb9bb36387da0d8f8e2f55d9b6373c59943ebd48d4b82317ca73c32c83

Aliases

arxiv: astro-ph/9802207 · arxiv_version: astro-ph/9802207v1 · doi: 10.48550/arxiv.astro-ph/9802207 · pith_short_12: FNBHJO43WNRY · pith_short_16: FNBHJO43WNRYPWQN · pith_short_8: FNBHJO43

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/FNBHJO43WNRYPWQNR6HC6VOZWY \
  | 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: 2b4274bb9bb36387da0d8f8e2f55d9b6373c59943ebd48d4b82317ca73c32c83

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b8ea6fd8fc7317aec1d05792b8b23eb90af752f025f90132df8f4e7439c1dadf",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "1998-02-14T21:30:25Z",
    "title_canon_sha256": "446b34c3da76c5d4f5f1dcf7eb4b7d27e7ac533371c54c31775a0ab724f7869a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "astro-ph/9802207",
    "kind": "arxiv",
    "version": 1
  }
}