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Pith Number

pith:CMC4UNCK

pith:2012:CMC4UNCKFFOEBMJONIOFPXW3PL
not attested not anchored not stored refs pending

Improved Theoretical Predictions of Microlensing Rates for the Detection of Primordial Black Hole Dark Matter

Agnieszka M. Cieplak, Kim Griest

arxiv:1210.7729 v1 · 2012-10-29 · astro-ph.CO

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{CMC4UNCKFFOEBMJONIOFPXW3PL}

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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

2 papers in Pith

Receipt and verification
First computed 2026-05-18T01:53:36.262831Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

1305ca344a295c40b12e6a1c57dedb7ad422c91f4514b350b1cbaa877a718a0c

Aliases

arxiv: 1210.7729 · arxiv_version: 1210.7729v1 · doi: 10.48550/arxiv.1210.7729 · pith_short_12: CMC4UNCKFFOE · pith_short_16: CMC4UNCKFFOEBMJO · pith_short_8: CMC4UNCK
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/CMC4UNCKFFOEBMJONIOFPXW3PL \
  | 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: 1305ca344a295c40b12e6a1c57dedb7ad422c91f4514b350b1cbaa877a718a0c
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "39d6d1730f6a4d3419b64be2262dbafa0fb5b59c7cabfc84230a1b3dbd28e05f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2012-10-29T17:00:37Z",
    "title_canon_sha256": "91d47bcb65687d1382d46883d5f129b0e12283d1818fccdd22902809db5bc872"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.7729",
    "kind": "arxiv",
    "version": 1
  }
}