Pith Number

pith:EYYWHJFL

pith:2026:EYYWHJFLI23KRRQAXBTR2DRC3E

not attested not anchored not stored refs pending

Do Primordial Black Hole Clusters Survive the Galaxy? Collisional Disruption and Microlensing Implications

M.V. Tkachev, S.V. Pilipenko

arxiv:2607.09918 v1 · 2026-07-10 · astro-ph.CO · astro-ph.GA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{EYYWHJFLI23KRRQAXBTR2DRC3E}

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	2026-07-14T00:18:42.939357Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

263163a4ab46b6a8c600b8671d0e22d90daf4c906b43027f52a552d4a839839f

Aliases

arxiv: 2607.09918 · arxiv_version: 2607.09918v1 · doi: 10.48550/arxiv.2607.09918 · pith_short_12: EYYWHJFLI23K · pith_short_16: EYYWHJFLI23KRRQA · pith_short_8: EYYWHJFL

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/EYYWHJFLI23KRRQAXBTR2DRC3E \
  | 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: 263163a4ab46b6a8c600b8671d0e22d90daf4c906b43027f52a552d4a839839f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ffd54f77a36c918d4785db4be19067c2ddb63c01c936396d1b59f3bd730aff7f",
    "cross_cats_sorted": [
      "astro-ph.GA"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2026-07-10T19:11:14Z",
    "title_canon_sha256": "352e1f2921be24374fabc8e8a2d32b37dbc4c932612b4a78ba2a59f8908a5788"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.09918",
    "kind": "arxiv",
    "version": 1
  }
}