Pith. sign in
Pith Number

pith:YIAD6OWW

pith:2008:YIAD6OWWFQVQMDZXKJBV5OHSO5
not attested not anchored not stored refs pending

Introduction to Gravitational Microlensing

Shude Mao

arxiv:0811.0441 v1 · 2008-11-04 · astro-ph

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{YIAD6OWWFQVQMDZXKJBV5OHSO5}

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.

Cited by

1 paper in Pith

Receipt and verification
First computed 2026-07-04T15:15:43.901575Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

c2003f3ad62c2b060f3752435eb8f2775cdda5b8a41a5ab518fbcfd9c49b3bd9

Aliases

arxiv: 0811.0441 · arxiv_version: 0811.0441v1 · doi: 10.48550/arxiv.0811.0441 · pith_short_12: YIAD6OWWFQVQ · pith_short_16: YIAD6OWWFQVQMDZX · pith_short_8: YIAD6OWW
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/YIAD6OWWFQVQMDZXKJBV5OHSO5 \
  | 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: c2003f3ad62c2b060f3752435eb8f2775cdda5b8a41a5ab518fbcfd9c49b3bd9
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "bc20675aa2f932500f5383241aa118824edfca44d57f8cc3a7e69850cf4ff849",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph",
    "submitted_at": "2008-11-04T07:54:13Z",
    "title_canon_sha256": "6735e4973b6c39a74aa90cf02e1647b6894e98ed64c33a3ffb93b07ff24a7f79"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0811.0441",
    "kind": "arxiv",
    "version": 1
  }
}