Pith Number

pith:BBZ2OONX

pith:2024:BBZ2OONXFFAA74XPRZNWO2VSCU

not attested not anchored not stored refs pending

A Precise Fitting Formula for Gravitational Wave Spectra from Phase Transitions

Fazlollah Hajkarim, Graham White, Huai-Ke Guo, Kuver Sinha, Yang Xiao

arxiv:2407.02580 v1 · 2024-07-02 · hep-ph · astro-ph.CO · gr-qc

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BBZ2OONXFFAA74XPRZNWO2VSCU}

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

A simple solution to the monopole problem: SU(5) GUT with symmetry breaking into special subgroup

Gravitational Waves from Multiple First-Order Phase Transitions in a Scenario with Early Matter Domination

Receipt and verification

First computed	2026-07-05T08:39:38.623986Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0873a739b729400ff2ef8e5b676ab2151054acf4d58fad5f5cbce71d2b5ee8ef

Aliases

arxiv: 2407.02580 · arxiv_version: 2407.02580v1 · doi: 10.48550/arxiv.2407.02580 · pith_short_12: BBZ2OONXFFAA · pith_short_16: BBZ2OONXFFAA74XP · pith_short_8: BBZ2OONX

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/BBZ2OONXFFAA74XPRZNWO2VSCU \
  | 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: 0873a739b729400ff2ef8e5b676ab2151054acf4d58fad5f5cbce71d2b5ee8ef

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9073a0ccb1237bfabedf37950ba768a79f82f96cde2a6343dcc667329c1bede8",
    "cross_cats_sorted": [
      "astro-ph.CO",
      "gr-qc"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2024-07-02T18:02:21Z",
    "title_canon_sha256": "1669da4d1da3783e90bb038a070d959a22317e7a94b319d41047c51653f55e0d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2407.02580",
    "kind": "arxiv",
    "version": 1
  }
}