Pith Number

pith:TRSYC3HT

pith:2025:TRSYC3HTDS3CUT5YIWL73D54MZ

not attested not anchored not stored refs pending

Little Red Dots from Small-Scale Primordial Black Hole Clustering

Borui Zhang, Haipeng An, Wei-Xiang Feng

arxiv:2507.07171 v2 · 2025-07-09 · astro-ph.CO · astro-ph.GA · 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{TRSYC3HTDS3CUT5YIWL73D54MZ}

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

Memoirs of the curvaton: non-perturbative non-Gaussianity and supermassive primordial black holes

Smoluchowski Coagulation Equation and the Evolution of Primordial Black Hole Clusters

Receipt and verification

First computed	2026-07-05T11:41:44.142943Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9c65816cf31cb62a4fb84597fd8fbc66675b485c2135dd53c610d043c175b88c

Aliases

arxiv: 2507.07171 · arxiv_version: 2507.07171v2 · doi: 10.48550/arxiv.2507.07171 · pith_short_12: TRSYC3HTDS3C · pith_short_16: TRSYC3HTDS3CUT5Y · pith_short_8: TRSYC3HT

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/TRSYC3HTDS3CUT5YIWL73D54MZ \
  | 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: 9c65816cf31cb62a4fb84597fd8fbc66675b485c2135dd53c610d043c175b88c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "69eacebcd7c554952a8468a8c6f62a331f96cd288fcf294021af7015b75a9d39",
    "cross_cats_sorted": [
      "astro-ph.GA",
      "gr-qc",
      "hep-ph"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2025-07-09T18:00:01Z",
    "title_canon_sha256": "706fe6b7e222b7d4a25543054fd3c6f5d8e53bc4723554088d7bc496b59ae6a6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.07171",
    "kind": "arxiv",
    "version": 2
  }
}