Pith Number

pith:WC45QBVG

pith:2021:WC45QBVGYERSVOG4M5OUWD2C22

not attested not anchored not stored refs pending

Anisotropy of phase transition gravitational wave and its implication for primordial seeds of the Universe

Fa Peng Huang, Xiao Wang, Xinmin Zhang, Yongping Li

arxiv:2112.01409 v4 · 2021-12-02 · 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{WC45QBVGYERSVOG4M5OUWD2C22}

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

Isotropy, anisotropies and non-Gaussianity in the scalar-induced gravitational-wave background: diagrammatic approach for primordial non-Gaussianity up to arbitrary order

Exploring the statistical anisotropy of primordial curvature perturbations with pulsar timing arrays

Receipt and verification

First computed	2026-07-05T04:18:16.520477Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b0b9d806a6c1232ab8dc675d4b0f42d6b284557e19a50cc9ea09542850dc835c

Aliases

arxiv: 2112.01409 · arxiv_version: 2112.01409v4 · doi: 10.48550/arxiv.2112.01409 · pith_short_12: WC45QBVGYERS · pith_short_16: WC45QBVGYERSVOG4 · pith_short_8: WC45QBVG

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/WC45QBVGYERSVOG4M5OUWD2C22 \
  | 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: b0b9d806a6c1232ab8dc675d4b0f42d6b284557e19a50cc9ea09542850dc835c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bdde6a4b3344bba0198e26787273179d427921fe686319e32dab5612de51167f",
    "cross_cats_sorted": [
      "hep-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2021-12-02T16:57:20Z",
    "title_canon_sha256": "4fb0a270c4fd16d591100a7a7dd9b183ac6aa00b6b4d16d11858141c6b89c935"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2112.01409",
    "kind": "arxiv",
    "version": 4
  }
}