Pith. sign in
Pith Number

pith:AEXMPUW7

pith:2000:AEXMPUW72YGH7KB7SD34PYZROI
not attested not anchored not stored refs pending

Predicting caustic crossing high magnification events in Q2237+0305

E. Agol, E. L. Turner, J. S. B. Wyithe, R. L. Webster

arxiv:astro-ph/0001306 v2 · 2000-01-18 · astro-ph

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{AEXMPUW72YGH7KB7SD34PYZROI}

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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.
Receipt and verification
First computed 2026-07-04T16:15:56.061767Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

012ec7d2dfd60c7fa83f90f7c7e3317208abc2313eba35365a8644a5f22c2aa4

Aliases

arxiv: astro-ph/0001306 · arxiv_version: astro-ph/0001306v2 · doi: 10.48550/arxiv.astro-ph/0001306 · pith_short_12: AEXMPUW72YGH · pith_short_16: AEXMPUW72YGH7KB7 · pith_short_8: AEXMPUW7
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/AEXMPUW72YGH7KB7SD34PYZROI \
  | 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: 012ec7d2dfd60c7fa83f90f7c7e3317208abc2313eba35365a8644a5f22c2aa4
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "94b12d3301f7c82d5bf73e651212f1e02af6758ad4fc113ea8d449ac8ad03bfb",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "2000-01-18T05:41:36Z",
    "title_canon_sha256": "59b3cc4f87a0c6250d14cf4cedd9a8e37e36b75898d4a56ca4eb9bd7c089eb6d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "astro-ph/0001306",
    "kind": "arxiv",
    "version": 2
  }
}