Pith Number

pith:QQUIEQRW

pith:2026:QQUIEQRWXZF4LAH6PPUYCW5XQL

not attested not anchored not stored refs pending

Constraining supermassive primordial black hole clustering with the angular auto-correlation of $z\simeq 6$ quasars

Hai-Long Huang, Yun-Song Piao, Zhan-He Wang

arxiv:2606.25602 v1 · 2026-06-24 · astro-ph.CO · gr-qc · 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{QQUIEQRWXZF4LAH6PPUYCW5XQL}

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	2026-06-25T01:18:10.100483Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8428824236be4bc580fe7be9815bb782c701557419bf8fd31983f4af394af494

Aliases

arxiv: 2606.25602 · arxiv_version: 2606.25602v1 · doi: 10.48550/arxiv.2606.25602 · pith_short_12: QQUIEQRWXZF4 · pith_short_16: QQUIEQRWXZF4LAH6 · pith_short_8: QQUIEQRW

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/QQUIEQRWXZF4LAH6PPUYCW5XQL \
  | 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: 8428824236be4bc580fe7be9815bb782c701557419bf8fd31983f4af394af494

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "437b87d13713011938d148397b583e6487ec0dceee3964cf6c81d6ad68522de1",
    "cross_cats_sorted": [
      "gr-qc",
      "hep-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2026-06-24T09:08:48Z",
    "title_canon_sha256": "5ab4f6a636f79f6eba12d01da5a6dbf1b0a7cdce70d696dad3a788ceb85f2711"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.25602",
    "kind": "arxiv",
    "version": 1
  }
}