Pith Number

pith:QXG6CFTO

pith:2001:QXG6CFTOKEVSJVNCV6EWEGRQJE

not attested not anchored not stored refs pending

Flux ratios as a probe of dark substructures in quadruple-image gravitational lenses

Cambridge), HongSheng Zhao (IoA, R. Benton Metcalf

arxiv:astro-ph/0111427 v3 · 2001-11-22 · 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{QXG6CFTOKEVSJVNCV6EWEGRQJE}

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	2026-07-04T16:24:30.982777Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

85cde1166e512b24d5a2af89621a3049061e6ae7d63bd9d8c1297f8ad5290235

Aliases

arxiv: astro-ph/0111427 · arxiv_version: astro-ph/0111427v3 · doi: 10.48550/arxiv.astro-ph/0111427 · pith_short_12: QXG6CFTOKEVS · pith_short_16: QXG6CFTOKEVSJVNC · pith_short_8: QXG6CFTO

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/QXG6CFTOKEVSJVNCV6EWEGRQJE \
  | 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: 85cde1166e512b24d5a2af89621a3049061e6ae7d63bd9d8c1297f8ad5290235

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0ec9269240c9889c1e15ee80eb495d27675cf0543beacbd2ef150806c531bf63",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "2001-11-22T16:17:18Z",
    "title_canon_sha256": "b9fd98f2dc9cb7b23376bf194a37e943e898ba76af98d10b682182e48eb879f4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "astro-ph/0111427",
    "kind": "arxiv",
    "version": 3
  }
}