Pith Number

pith:NXA3HMQA

pith:2002:NXA3HMQADZC3RYBTKVCVNZUL7Y

not attested not anchored not stored refs pending

Gravitational Microlensing Near Caustics II: Cusps

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

arxiv:astro-ph/0206162 v2 · 2002-06-11 · 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{NXA3HMQADZC3RYBTKVCVNZUL7Y}

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	2026-07-04T15:20:09.362398Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6dc1b3b2001e45b8e033554556e68bfe2c8c644be69d708db03ebdfb6706c64d

Aliases

arxiv: astro-ph/0206162 · arxiv_version: astro-ph/0206162v2 · doi: 10.48550/arxiv.astro-ph/0206162 · pith_short_12: NXA3HMQADZC3 · pith_short_16: NXA3HMQADZC3RYBT · pith_short_8: NXA3HMQA

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/NXA3HMQADZC3RYBTKVCVNZUL7Y \
  | 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: 6dc1b3b2001e45b8e033554556e68bfe2c8c644be69d708db03ebdfb6706c64d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4e470ceee951a5e5ca86ac0b3a5129daa9eee0dec8489da08618ebe4b3777c4c",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "2002-06-11T06:14:16Z",
    "title_canon_sha256": "2e4e19726e94b57acac91ee223845583f8280b85a26a2407ade9e799eb379f94"
  },
  "schema_version": "1.0",
  "source": {
    "id": "astro-ph/0206162",
    "kind": "arxiv",
    "version": 2
  }
}