Pith Number

pith:FGHLXYZU

pith:2021:FGHLXYZU5WZGU77AUI6RV6J4BC

not attested not anchored not stored refs pending

Clarifying transfer function approximations for the large-scale gravitational wave background in $\Lambda$CDM

Andrea Ravenni, Jens Chluba, Subodh P. Patil, Thomas Kite

arxiv:2107.13351 v1 · 2021-07-28 · astro-ph.CO · gr-qc · hep-ph · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FGHLXYZU5WZGU77AUI6RV6J4BC}

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 Fast Method to Compute Scalar Induced Gravitational Waves on a Lattice with Primordial Non-Gaussianities

Observable CMB B-modes from Cosmological Phase Transitions

Receipt and verification

First computed	2026-07-05T03:32:10.404967Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

298ebbe334edb26a7fe0a23d1af93c0897d2fd0419e4d82cbe437dcf2292770e

Aliases

arxiv: 2107.13351 · arxiv_version: 2107.13351v1 · doi: 10.48550/arxiv.2107.13351 · pith_short_12: FGHLXYZU5WZG · pith_short_16: FGHLXYZU5WZGU77A · pith_short_8: FGHLXYZU

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/FGHLXYZU5WZGU77AUI6RV6J4BC \
  | 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: 298ebbe334edb26a7fe0a23d1af93c0897d2fd0419e4d82cbe437dcf2292770e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8f8b6c0d4f8ef952c2ddcdfbd7cbf1879ec16ce3e1179c57dc0f22b877edaa19",
    "cross_cats_sorted": [
      "gr-qc",
      "hep-ph",
      "hep-th"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2021-07-28T13:29:40Z",
    "title_canon_sha256": "ce7fb4a48736b598790e10167bd6308d4ccf47b86f97920d6d94beb0eb40b6cb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2107.13351",
    "kind": "arxiv",
    "version": 1
  }
}