Pith Number

pith:MMR5T2XF

pith:2026:MMR5T2XF3USOLPBLBDIP5VHIT2

not attested not anchored not stored refs pending

Identification of Lensed Gravitational-Wave Beat Patterns by LISA

Hengyu Wu, Kai Liao, Tonghua Liu

arxiv:2606.12792 v1 · 2026-06-11 · astro-ph.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MMR5T2XF3USOLPBLBDIP5VHIT2}

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	2026-06-12T01:08:51.331115Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6323d9eae5dd24e5bc2b08d0fed4e89ebc90120028e0dbd6c351dad4bee00b74

Aliases

arxiv: 2606.12792 · arxiv_version: 2606.12792v1 · doi: 10.48550/arxiv.2606.12792 · pith_short_12: MMR5T2XF3USO · pith_short_16: MMR5T2XF3USOLPBL · pith_short_8: MMR5T2XF

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/MMR5T2XF3USOLPBLBDIP5VHIT2 \
  | 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: 6323d9eae5dd24e5bc2b08d0fed4e89ebc90120028e0dbd6c351dad4bee00b74

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c33d149afb03ba3a8a2d391e6ef31af713e0b1214c28013acea1d81d3981fed6",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2026-06-11T01:23:17Z",
    "title_canon_sha256": "1a98f02f756ef3bdc84fec007a3c3eb1022164d046722e43f00eb4699a8c87cd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.12792",
    "kind": "arxiv",
    "version": 1
  }
}