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Pith Number

pith:626ZFCIC

pith:1999:626ZFCICZPYKUMHOE5WEROGXPA
not attested not anchored not stored refs pending

The binary gravitational lens and its extreme cases

M. Dominik

arxiv:astro-ph/9903014 v2 · 1999-03-01 · astro-ph

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{626ZFCICZPYKUMHOE5WEROGXPA}

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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 2026-07-04T15:51:14.577911Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

f6bd928902cbf0aa30ee276c48b8d7780ec72921a5e24a9d307397ef987497cb

Aliases

arxiv: astro-ph/9903014 · arxiv_version: astro-ph/9903014v2 · doi: 10.48550/arxiv.astro-ph/9903014 · pith_short_12: 626ZFCICZPYK · pith_short_16: 626ZFCICZPYKUMHO · pith_short_8: 626ZFCIC
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/626ZFCICZPYKUMHOE5WEROGXPA \
  | 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: f6bd928902cbf0aa30ee276c48b8d7780ec72921a5e24a9d307397ef987497cb
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "187600fb5f300880227b9b314a278a0535f2a9986ba5742dca7378e3fd3a1f9b",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "1999-03-01T16:54:57Z",
    "title_canon_sha256": "afcd758fad443e68f509004f96c4868eab27b6026c919c433b4575f251d2eca3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "astro-ph/9903014",
    "kind": "arxiv",
    "version": 2
  }
}