Pith Number

pith:PDUFBN4U

pith:2026:PDUFBN4UI6NN5L5I7ZIKBQAAD3

not attested not anchored not stored refs pending

Reconstruction of Primordial Power Spectrum from Gravitational Waves of High-Redshift Black Hole Binaries

Masahide Yamaguchi, Qianhang Ding, Xinpeng Wang, Ying-li Zhang

arxiv:2607.11145 v1 · 2026-07-13 · astro-ph.CO · 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{PDUFBN4UI6NN5L5I7ZIKBQAAD3}

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	2026-07-14T01:22:18.857046Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

78e850b794479adeafa8fe50a0c0001eedf2d6640f7f75ed1b655909fe4a7b1b

Aliases

arxiv: 2607.11145 · arxiv_version: 2607.11145v1 · doi: 10.48550/arxiv.2607.11145 · pith_short_12: PDUFBN4UI6NN · pith_short_16: PDUFBN4UI6NN5L5I · pith_short_8: PDUFBN4U

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/PDUFBN4UI6NN5L5I7ZIKBQAAD3 \
  | 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: 78e850b794479adeafa8fe50a0c0001eedf2d6640f7f75ed1b655909fe4a7b1b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ae02281db1b72b6acefc62c318efa0f83e85559ac7917801340bdfc0a538d4e8",
    "cross_cats_sorted": [
      "hep-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2026-07-13T06:33:06Z",
    "title_canon_sha256": "23522dfabbd058255579bd87f9c38e9e56e2f6eb8de89785d32575d6b3b825b3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.11145",
    "kind": "arxiv",
    "version": 1
  }
}