Pith. sign in
Pith Number

pith:U4O4FULS

pith:2024:U4O4FULSRFZBH27DRSF6PK2DGJ
not attested not anchored not stored refs pending

Primordial black hole numbers: standard formulas and charts

Eemeli Tomberg

arxiv:2408.09303 v1 · 2024-08-17 · astro-ph.CO · gr-qc

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{U4O4FULSRFZBH27DRSF6PK2DGJ}

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

Receipt and verification
First computed 2026-07-05T08:56:30.772878Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

a71dc2d172897213ebe38c8be7ab43325240feabe5b2e571d3fc2e67e43e6980

Aliases

arxiv: 2408.09303 · arxiv_version: 2408.09303v1 · doi: 10.48550/arxiv.2408.09303 · pith_short_12: U4O4FULSRFZB · pith_short_16: U4O4FULSRFZBH27D · pith_short_8: U4O4FULS
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/U4O4FULSRFZBH27DRSF6PK2DGJ \
  | 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: a71dc2d172897213ebe38c8be7ab43325240feabe5b2e571d3fc2e67e43e6980
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "a1a61d3f5f78b9fcfe752525f51514bc5109c6230cf5bef2cc98687c788cf4b0",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2024-08-17T22:33:10Z",
    "title_canon_sha256": "3dbd229ab8b6d3f909bd5b2f37fe03fd9e80ad2271fee81caf8e0d799b84e7a0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2408.09303",
    "kind": "arxiv",
    "version": 1
  }
}