Pith Number

pith:3F5FLF7Z

pith:2020:3F5FLF7ZAHJCBRLSBTTXI42LI2

not attested not anchored not stored refs pending

Primordial black holes from metric preheating: mass fraction in the excursion-set approach

Pierre Auclair, Vincent Vennin

arxiv:2011.05633 v2 · 2020-11-11 · astro-ph.CO · gr-qc · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3F5FLF7ZAHJCBRLSBTTXI42LI2}

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

2 papers in Pith

Primordial Black Holes: A Review of Formation and Evolution

Primordial black holes in excursion set theory: Formation probabilities, mass functions, and window functions

Receipt and verification

First computed	2026-07-05T02:25:28.354238Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d97a5597f901d220c5720ce774734b46935075f0f85d8ab46c49a1ca12f4b898

Aliases

arxiv: 2011.05633 · arxiv_version: 2011.05633v2 · doi: 10.48550/arxiv.2011.05633 · pith_short_12: 3F5FLF7ZAHJC · pith_short_16: 3F5FLF7ZAHJCBRLS · pith_short_8: 3F5FLF7Z

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/3F5FLF7ZAHJCBRLSBTTXI42LI2 \
  | 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: d97a5597f901d220c5720ce774734b46935075f0f85d8ab46c49a1ca12f4b898

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4cf0844e92e374868704d478478b4634f6b1cfd13eb1792735a0038fdd8685ce",
    "cross_cats_sorted": [
      "gr-qc",
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2020-11-11T08:45:36Z",
    "title_canon_sha256": "1648cac656e8b798fac55da845647a95b632fe26ff5c16b3b1b19d83a1574422"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2011.05633",
    "kind": "arxiv",
    "version": 2
  }
}