Pith Number

pith:CITQ54O3

pith:2021:CITQ54O357TCTOAUFY6KZLEHU6

not attested not anchored not stored refs pending

Covariant transverse-traceless projection for secondary gravitational waves

Atsuhisa Ota, Hayley J. Macpherson, William R. Coulton

arxiv:2111.09163 v2 · 2021-11-17 · gr-qc · astro-ph.CO · 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{CITQ54O357TCTOAUFY6KZLEHU6}

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.

Receipt and verification

First computed	2026-07-05T05:03:20.145026Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

12270ef1dbefe629b8142e3cacac87a7b27ceb9d66c168cd8eae8c13ca5f968d

Aliases

arxiv: 2111.09163 · arxiv_version: 2111.09163v2 · doi: 10.48550/arxiv.2111.09163 · pith_short_12: CITQ54O357TC · pith_short_16: CITQ54O357TCTOAU · pith_short_8: CITQ54O3

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/CITQ54O357TCTOAUFY6KZLEHU6 \
  | 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: 12270ef1dbefe629b8142e3cacac87a7b27ceb9d66c168cd8eae8c13ca5f968d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3bb9c4e47607cbd157685dc316108dec7a7b3cd798f269d897d30a10b0aadeb7",
    "cross_cats_sorted": [
      "astro-ph.CO",
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2021-11-17T14:54:12Z",
    "title_canon_sha256": "87800c0a822f3c73aef17601babf98a97fbff4dbd8be84e536508e5a65ad28db"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2111.09163",
    "kind": "arxiv",
    "version": 2
  }
}