Pith Number

pith:GTQVW72R

pith:2022:GTQVW72R4FEC2Q56BORX27SAVE

not attested not anchored not stored refs pending

Modified gravitational wave propagation with higher modes and its degeneracies with lensing

Fei Xu, Jose Maria Ezquiaga, Macarena Lagos, Meng-Xiang Lin, Wayne Hu

arxiv:2203.13252 v2 · 2022-03-24 · 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{GTQVW72R4FEC2Q56BORX27SAVE}

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

1 paper in Pith

Probing globular clusters parameters through gravitational wave lensing with stellar-mass black hole binaries

Receipt and verification

First computed	2026-07-05T04:48:45.409401Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

34e15b7f51e1482d43be0ba37d7e40a93c8d03455844811e86b04efe5818d1ab

Aliases

arxiv: 2203.13252 · arxiv_version: 2203.13252v2 · doi: 10.48550/arxiv.2203.13252 · pith_short_12: GTQVW72R4FEC · pith_short_16: GTQVW72R4FEC2Q56 · pith_short_8: GTQVW72R

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/GTQVW72R4FEC2Q56BORX27SAVE \
  | 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: 34e15b7f51e1482d43be0ba37d7e40a93c8d03455844811e86b04efe5818d1ab

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ca22aef54e20e90e91fc77bb2a11e526d77ab368e6c55288b2ccc21588f3d58d",
    "cross_cats_sorted": [
      "astro-ph.CO",
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2022-03-24T17:59:05Z",
    "title_canon_sha256": "5a9925d3029ddef9435fcbfd3356cd6ac55a47b70da7a3169d747b684e5becac"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2203.13252",
    "kind": "arxiv",
    "version": 2
  }
}