Pith Number

pith:EDYU32V6

pith:1998:EDYU32V6NOSK34CDQ5TF3AJ5QT

not attested not anchored not stored refs pending

Extended Source Effects in Astrometric Gravitational Microlensing

Garching), Hans J. Witt (AIP, Potsdam), Shude Mao (MPA

arxiv:astro-ph/9804045 v1 · 1998-04-04 · 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{EDYU32V6NOSK34CDQ5TF3AJ5QT}

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	2026-05-18T01:40:14.211237Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

20f14deabe6ba4adf04387665d813d84faa3806bfd5b6b0c3d802ba31d2cab76

Aliases

arxiv: astro-ph/9804045 · arxiv_version: astro-ph/9804045v1 · doi: 10.48550/arxiv.astro-ph/9804045 · pith_short_12: EDYU32V6NOSK · pith_short_16: EDYU32V6NOSK34CD · pith_short_8: EDYU32V6

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/EDYU32V6NOSK34CDQ5TF3AJ5QT \
  | 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: 20f14deabe6ba4adf04387665d813d84faa3806bfd5b6b0c3d802ba31d2cab76

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bdbcf3d0dd176534225efb3fef0f5b5cd12c14494b9434b3736d99f5e328d018",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "1998-04-04T12:36:23Z",
    "title_canon_sha256": "cab716f7ccf79344e29b0406f7dbe9e36a2e7e49729eb467e41cabf6ac8394cd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "astro-ph/9804045",
    "kind": "arxiv",
    "version": 1
  }
}