Pith Number

pith:GVODNZ5W

pith:2026:GVODNZ5W26A7VNWL45I7TAAAG4

not attested not anchored not stored refs pending

Gas-induced perturbations on the gravitational wave in-spiral of live post-Newtonian LISA massive black hole binaries: 0.1 disk aspect ratio

Alessandro Lupi, Alessia Franchini, Mudit Garg

arxiv:2606.20787 v1 · 2026-06-18 · astro-ph.GA · astro-ph.HE · 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{GVODNZ5W26A7VNWL45I7TAAAG4}

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	2026-06-23T00:11:56.886650Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

355c36e7b6d781fab6cbe751f98000372561b27fdac780b847649894528bb87d

Aliases

arxiv: 2606.20787 · arxiv_version: 2606.20787v1 · doi: 10.48550/arxiv.2606.20787 · pith_short_12: GVODNZ5W26A7 · pith_short_16: GVODNZ5W26A7VNWL · pith_short_8: GVODNZ5W

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/GVODNZ5W26A7VNWL45I7TAAAG4 \
  | 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: 355c36e7b6d781fab6cbe751f98000372561b27fdac780b847649894528bb87d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "be73d735a9acd75eb84d45243946cea142074fe65c50e3dd42d0cd63d0784dc0",
    "cross_cats_sorted": [
      "astro-ph.HE",
      "gr-qc"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "astro-ph.GA",
    "submitted_at": "2026-06-18T18:00:00Z",
    "title_canon_sha256": "6e1943e7a39c4c68cb76fb33fb7f8d90b657565bae20a29323f89b9fa3f6c830"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.20787",
    "kind": "arxiv",
    "version": 1
  }
}