Pith Number

pith:KKB4QOMI

pith:2020:KKB4QOMIIE5C5U4MN3VJFOVASY

not attested not anchored not stored refs pending

Causal gravitational waves as a probe of free streaming particles and the expansion of the Universe

Anson Hook, Davide Racco, Gustavo Marques-Tavares

arxiv:2010.03568 v2 · 2020-10-07 · 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{KKB4QOMIIE5C5U4MN3VJFOVASY}

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

Observable CMB B-modes from Cosmological Phase Transitions

Scalar induced gravitational waves review

Receipt and verification

First computed	2026-07-05T02:23:47.245433Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5283c83988413a2ed38c6eea92baa09638097aa93c6d79231d6566c041f7ee9f

Aliases

arxiv: 2010.03568 · arxiv_version: 2010.03568v2 · doi: 10.48550/arxiv.2010.03568 · pith_short_12: KKB4QOMIIE5C · pith_short_16: KKB4QOMIIE5C5U4M · pith_short_8: KKB4QOMI

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/KKB4QOMIIE5C5U4MN3VJFOVASY \
  | 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: 5283c83988413a2ed38c6eea92baa09638097aa93c6d79231d6566c041f7ee9f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a6d6f77a58838f42c693c4bafd68f851aa0b8e7db1e4a7619a810ad37b72ab77",
    "cross_cats_sorted": [
      "astro-ph.CO",
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2020-10-07T18:00:01Z",
    "title_canon_sha256": "669f84e8899f0b0477a8d43d6720e9aa2702fc1028951b827279a06ee441e5da"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2010.03568",
    "kind": "arxiv",
    "version": 2
  }
}