Pith Number

pith:UX4XY2WG

pith:2025:UX4XY2WGLVMNOPFMSDUTKH3P7T

not attested not anchored not stored refs pending

Whispers from the Early Universe: The Ringdown of Primordial Black Holes

Chen Yuan, Qing-Guo Huang, Zhen Zhong

arxiv:2507.07665 v2 · 2025-07-10 · astro-ph.CO · gr-qc · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UX4XY2WGLVMNOPFMSDUTKH3P7T}

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

1 paper in Pith

Refining primordial black hole dark matter constraints with dust heating: the role of spin and halo profile dependence

Receipt and verification

First computed	2026-07-05T11:42:32.238154Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a5f97c6ac65d58d73cac90e9351f6ffccd7c7ec74f1ef0dec01796b86d05f850

Aliases

arxiv: 2507.07665 · arxiv_version: 2507.07665v2 · doi: 10.48550/arxiv.2507.07665 · pith_short_12: UX4XY2WGLVMN · pith_short_16: UX4XY2WGLVMNOPFM · pith_short_8: UX4XY2WG

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/UX4XY2WGLVMNOPFMSDUTKH3P7T \
  | 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: a5f97c6ac65d58d73cac90e9351f6ffccd7c7ec74f1ef0dec01796b86d05f850

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3789ac474fb1f82060e8af30eff63dc85f79fc3a2ba32b8ba3fb25f2172ad0b8",
    "cross_cats_sorted": [
      "gr-qc",
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2025-07-10T11:46:29Z",
    "title_canon_sha256": "abcf58bbe629fce82e3cdb97ad6be3d95c53e0ddc7e7db0eb039735343c3019b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.07665",
    "kind": "arxiv",
    "version": 2
  }
}