Pith Number

pith:WWK2ZI7K

pith:1999:WWK2ZI7KG44VMWBKQHEL222U3Q

not attested not anchored not stored refs pending

Higher Order Corrections in Gravitational Microlensing

G. Lambiase, G. Papini, G. Scarpetta, S. Capozziello

arxiv:astro-ph/9902373 v1 · 1999-02-26 · 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{WWK2ZI7KG44VMWBKQHEL222U3Q}

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	2026-07-04T16:10:44.637508Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b595aca3ea373956582a81c8bd6b54dc3d4a3f407be60c1c278c5816d03a4473

Aliases

arxiv: astro-ph/9902373 · arxiv_version: astro-ph/9902373v1 · doi: 10.48550/arxiv.astro-ph/9902373 · pith_short_12: WWK2ZI7KG44V · pith_short_16: WWK2ZI7KG44VMWBK · pith_short_8: WWK2ZI7K

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/WWK2ZI7KG44VMWBKQHEL222U3Q \
  | 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: b595aca3ea373956582a81c8bd6b54dc3d4a3f407be60c1c278c5816d03a4473

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f06ae1b74861d8f479b5b6f25ec84dfc779cd76cfc2dc075bd59f13b6e2644d9",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "1999-02-26T10:01:52Z",
    "title_canon_sha256": "c3a7ce2c549d26d49dc1aefec527f2e9265c167957e52693febd1d5069729266"
  },
  "schema_version": "1.0",
  "source": {
    "id": "astro-ph/9902373",
    "kind": "arxiv",
    "version": 1
  }
}