Pith Number

pith:23EIOMEI

pith:2001:23EIOMEIALFYBBZ5GXLJ7B2WNC

not attested not anchored not stored refs pending

Gravitational Microlensing Near Caustics I: Folds

A. O. Petters (Duke), B. Scott Gaudi (IAS)

arxiv:astro-ph/0112531 v4 · 2001-12-22 · 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{23EIOMEIALFYBBZ5GXLJ7B2WNC}

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	2026-07-04T16:24:48.877959Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d6c887308802cb80873d35d69f875668bb2d09b5f482760ef3b7fc57bcdc2003

Aliases

arxiv: astro-ph/0112531 · arxiv_version: astro-ph/0112531v4 · doi: 10.48550/arxiv.astro-ph/0112531 · pith_short_12: 23EIOMEIALFY · pith_short_16: 23EIOMEIALFYBBZ5 · pith_short_8: 23EIOMEI

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/23EIOMEIALFYBBZ5GXLJ7B2WNC \
  | 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: d6c887308802cb80873d35d69f875668bb2d09b5f482760ef3b7fc57bcdc2003

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "14beedefd0a9e6eb7c53ce87a662df1e51a84f38f60e8ed71e2bf80e50b8ed1b",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "2001-12-22T01:42:16Z",
    "title_canon_sha256": "6fcd0d299aa86ddfd6ea7ba6a873009fec09469a28562419cdb0a59940bbbc9d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "astro-ph/0112531",
    "kind": "arxiv",
    "version": 4
  }
}