Pith Number

pith:4YWF2FCK

pith:2021:4YWF2FCK6RV6IUBR2BMOTMIJJL

not attested not anchored not stored refs pending

The cosmic coincidences of primordial-black-hole dark matter

Elena Pinetti, Joseph Silk, Yi-Peng Wu

arxiv:2109.09875 v2 · 2021-09-20 · astro-ph.CO · hep-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4YWF2FCK6RV6IUBR2BMOTMIJJL}

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.

Receipt and verification

First computed	2026-07-05T03:52:09.118612Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e62c5d144af46be45031d058e9b1094ad901aa31c0db231213071e5129476e67

Aliases

arxiv: 2109.09875 · arxiv_version: 2109.09875v2 · doi: 10.48550/arxiv.2109.09875 · pith_short_12: 4YWF2FCK6RV6 · pith_short_16: 4YWF2FCK6RV6IUBR · pith_short_8: 4YWF2FCK

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/4YWF2FCK6RV6IUBR2BMOTMIJJL \
  | 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: e62c5d144af46be45031d058e9b1094ad901aa31c0db231213071e5129476e67

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b2a4e42a1f379dad1ffcf9f2592397afb3fffcba0d42924f3f13148963f0ebcd",
    "cross_cats_sorted": [
      "hep-ph"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2021-09-20T22:44:43Z",
    "title_canon_sha256": "e7e5d195009a94ba826db527fc1e6f14d718437b50a9067fd035db4d72fde4f8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2109.09875",
    "kind": "arxiv",
    "version": 2
  }
}