Pith Number

pith:ZOCWCYJI

pith:2022:ZOCWCYJIF5ZUNBA466IODF2UNR

not attested not anchored not stored refs pending

Microlensing constraints on clustered primordial black holes

Julien Lavalle, Karsten Jedamzik, Mihael Peta\v{c}

arxiv:2201.02521 v2 · 2022-01-07 · astro-ph.CO · astro-ph.GA · astro-ph.HE · gr-qc

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZOCWCYJIF5ZUNBA466IODF2UNR}

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

In-depth analysis of the clustering of dark matter particles around primordial black holes. Part III: CMB constraints

Hunting Dark Matter with the Einstein Telescope

Receipt and verification

First computed	2026-07-05T04:19:51.497292Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cb856161282f7346841cf790e197546c5f771bd71dbdd6f773e284320d42c8b2

Aliases

arxiv: 2201.02521 · arxiv_version: 2201.02521v2 · doi: 10.48550/arxiv.2201.02521 · pith_short_12: ZOCWCYJIF5ZU · pith_short_16: ZOCWCYJIF5ZUNBA4 · pith_short_8: ZOCWCYJI

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/ZOCWCYJIF5ZUNBA466IODF2UNR \
  | 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: cb856161282f7346841cf790e197546c5f771bd71dbdd6f773e284320d42c8b2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2dd07886d12c2e62dad5f28876999971a339866ee91a8163292d32401115f7a5",
    "cross_cats_sorted": [
      "astro-ph.GA",
      "astro-ph.HE",
      "gr-qc"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2022-01-07T16:13:15Z",
    "title_canon_sha256": "24c6a72bb9f621a973d30b34aa139f25d2a24c87f7aa97839a86f3bab9af617a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2201.02521",
    "kind": "arxiv",
    "version": 2
  }
}