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Pith Number

pith:MPL5ZR6C

pith:2013:MPL5ZR6CVOBUE7S3QUELY2UM3O
not attested not anchored not stored refs pending

Threshold of primordial black hole formation

Chul-Moon Yoo, Kazunori Kohri, Tomohiro Harada

arxiv:1309.4201 v4 · 2013-09-17 · astro-ph.CO · gr-qc · hep-ph · hep-th

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{MPL5ZR6CVOBUE7S3QUELY2UM3O}

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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

12 papers in Pith

Receipt and verification
First computed 2026-05-18T01:47:36.836298Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

63d7dcc7c2ab83427e5b8508bc6a8cdb935c5f89a68437e2a8e9253ff0fe2ee9

Aliases

arxiv: 1309.4201 · arxiv_version: 1309.4201v4 · doi: 10.48550/arxiv.1309.4201 · pith_short_12: MPL5ZR6CVOBU · pith_short_16: MPL5ZR6CVOBUE7S3 · pith_short_8: MPL5ZR6C
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/MPL5ZR6CVOBUE7S3QUELY2UM3O \
  | 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: 63d7dcc7c2ab83427e5b8508bc6a8cdb935c5f89a68437e2a8e9253ff0fe2ee9
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "9ec05eb2670af30d0d2d0402ae33ed88743eaaeb32cde198ec08c81f31ec56bc",
    "cross_cats_sorted": [
      "gr-qc",
      "hep-ph",
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2013-09-17T07:03:30Z",
    "title_canon_sha256": "66bc163421ae0575c65aa07198da04c6c22d0bfc2101c0f0107e90573a3354dc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.4201",
    "kind": "arxiv",
    "version": 4
  }
}