Pith Number

pith:SKTSOVJK

pith:2025:SKTSOVJKLMDVIMDHBJNQ3FUJHW

not attested not anchored not stored refs pending

Analytic Gravitational Wave Spectrum in Next-to-Minimal Bouncing Cosmology

Changhong Li

arxiv:2507.12968 v1 · 2025-07-17 · 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{SKTSOVJKLMDVIMDHBJNQ3FUJHW}

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	2026-07-05T11:38:42.360010Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

92a727552a5b075430670a5b0d96893db0348b2d3fe47ecb51f1a1cd925e6fb9

Aliases

arxiv: 2507.12968 · arxiv_version: 2507.12968v1 · doi: 10.48550/arxiv.2507.12968 · pith_short_12: SKTSOVJKLMDV · pith_short_16: SKTSOVJKLMDVIMDH · pith_short_8: SKTSOVJK

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/SKTSOVJKLMDVIMDHBJNQ3FUJHW \
  | 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: 92a727552a5b075430670a5b0d96893db0348b2d3fe47ecb51f1a1cd925e6fb9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "088a0d09c8e778faaeac31723bd5ee107c9517889678202ba9a29f2569f4bd3f",
    "cross_cats_sorted": [
      "gr-qc",
      "hep-ph"
    ],
    "license": "http://creativecommons.org/licenses/by-sa/4.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2025-07-17T10:10:33Z",
    "title_canon_sha256": "d9f3a71559a469abb265e6259824fab09c310ddf2011c514d5d492360f2c2494"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.12968",
    "kind": "arxiv",
    "version": 1
  }
}