Pith Number

pith:FNGRPZ6S

pith:2021:FNGRPZ6STQB3CKN5MKW6MEZ2DA

not attested not anchored not stored refs pending

Sound velocity effects on the phase transition gravitational wave spectrum in the sound shell model

Fa Peng Huang, Xiao Wang, Yongping Li

arxiv:2112.14650 v4 · 2021-12-29 · 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{FNGRPZ6STQB3CKN5MKW6MEZ2DA}

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

3 papers in Pith

HydroGrav: Precise hydrodynamics and gravitational waves for cosmological phase transitions

Nonlinear growth and amplification of phase-transition gravitational waves induced by cosmic expansion

Model Parameter Reconstruction of Electroweak Phase Transition with TianQin and LISA: Insights from the Dimension-Six Model

Receipt and verification

First computed	2026-07-05T04:22:39.978411Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2b4d17e7d29c03b129bd62ade6133a181ffa76a55335eebca754b6b4a9d71956

Aliases

arxiv: 2112.14650 · arxiv_version: 2112.14650v4 · doi: 10.48550/arxiv.2112.14650 · pith_short_12: FNGRPZ6STQB3 · pith_short_16: FNGRPZ6STQB3CKN5 · pith_short_8: FNGRPZ6S

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/FNGRPZ6STQB3CKN5MKW6MEZ2DA \
  | 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: 2b4d17e7d29c03b129bd62ade6133a181ffa76a55335eebca754b6b4a9d71956

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1933335c9188925b52b8977bf97c9955bfff1384d6b21511478b9a77e07f1b33",
    "cross_cats_sorted": [
      "hep-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2021-12-29T16:53:34Z",
    "title_canon_sha256": "0f69c8e2ceadea2edfdc8f7d303fbdf1e86524854ad0a82c1e19a2ff016a89d2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2112.14650",
    "kind": "arxiv",
    "version": 4
  }
}