Pith. sign in
Pith Number

pith:WVATEFVN

pith:2000:WVATEFVNHYXMNHX2BR3LRJ5NHS
not attested not anchored not stored refs pending

A Natural Formalism for Microlensing

Andrew Gould (Ohio State University)

arxiv:astro-ph/0001421 v1 · 2000-01-25 · astro-ph

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{WVATEFVNHYXMNHX2BR3LRJ5NHS}

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 2026-07-04T16:15:57.643994Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

b5413216ad3e2ec69efa0c76b8a7ad3c8f273117c03a456a178c9b120b2b78a2

Aliases

arxiv: astro-ph/0001421 · arxiv_version: astro-ph/0001421v1 · doi: 10.48550/arxiv.astro-ph/0001421 · pith_short_12: WVATEFVNHYXM · pith_short_16: WVATEFVNHYXMNHX2 · pith_short_8: WVATEFVN
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/WVATEFVNHYXMNHX2BR3LRJ5NHS \
  | 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: b5413216ad3e2ec69efa0c76b8a7ad3c8f273117c03a456a178c9b120b2b78a2
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "ca9e0a97994deaedb996cd9ba0df0d790999e4fde571b550a62e2814164088a1",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "2000-01-25T00:57:18Z",
    "title_canon_sha256": "88677c098c952b3832fa892079ca7e650cbebd8ff768010e92d61461adb65e70"
  },
  "schema_version": "1.0",
  "source": {
    "id": "astro-ph/0001421",
    "kind": "arxiv",
    "version": 1
  }
}