Pith Number

pith:7IPCTBUY

pith:2021:7IPCTBUYL2FEOQ6HXT3JTSQLOK

not attested not anchored not stored refs pending

New Approximation of Magnification Statistics for Random Microlensing of Magnified Sources

Liang Dai, Massimo Pascale

arxiv:2104.12009 v1 · 2021-04-24 · astro-ph.GA · astro-ph.CO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7IPCTBUYL2FEOQ6HXT3JTSQLOK}

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

Rootin' Tootin' Efficient Ray Shootin': Creating Microlensing Magnification Maps with GPUs

Receipt and verification

First computed	2026-07-05T02:34:52.648380Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fa1e2986985e8a4743c7bcf699ca0b72a3eefeb8776e59eee03b1850b0431baf

Aliases

arxiv: 2104.12009 · arxiv_version: 2104.12009v1 · doi: 10.48550/arxiv.2104.12009 · pith_short_12: 7IPCTBUYL2FE · pith_short_16: 7IPCTBUYL2FEOQ6H · pith_short_8: 7IPCTBUY

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/7IPCTBUYL2FEOQ6HXT3JTSQLOK \
  | 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: fa1e2986985e8a4743c7bcf699ca0b72a3eefeb8776e59eee03b1850b0431baf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "33ddac602a866e93db70259876b8ba061404be26ba0877d64bab765e3c3186fd",
    "cross_cats_sorted": [
      "astro-ph.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.GA",
    "submitted_at": "2021-04-24T19:25:35Z",
    "title_canon_sha256": "e470777ad572f4c72c15e826c3620becf79d5dc61cdad4cb2a4dc07072cfcb89"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2104.12009",
    "kind": "arxiv",
    "version": 1
  }
}