Pith Number

pith:WPKNVKE6

pith:2026:WPKNVKE6MEJWJ5DEXFOHM5WMNP

not attested not anchored not stored refs pending

Wave Optics Effects from Gravitational Wave Propagation Through Dark Matter Halos

Annamalai P. Shanmugaraj, Erik Schnetter, Roland Haas, Sofie Marie Koksbang

arxiv:2606.30149 v1 · 2026-06-29 · gr-qc · 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{WPKNVKE6MEJWJ5DEXFOHM5WMNP}

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	2026-06-30T02:17:51.588912Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b3d4daa89e611364f464b95c7676cc6bc0aa2c0e5c22728805ad91def440da71

Aliases

arxiv: 2606.30149 · arxiv_version: 2606.30149v1 · doi: 10.48550/arxiv.2606.30149 · pith_short_12: WPKNVKE6MEJW · pith_short_16: WPKNVKE6MEJWJ5DE · pith_short_8: WPKNVKE6

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/WPKNVKE6MEJWJ5DEXFOHM5WMNP \
  | 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: b3d4daa89e611364f464b95c7676cc6bc0aa2c0e5c22728805ad91def440da71

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "23796c38d20257038b081bcc4a71dcbee5ddc95b96f3c66c1176d9242ce51bdc",
    "cross_cats_sorted": [
      "astro-ph.CO"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2026-06-29T11:26:02Z",
    "title_canon_sha256": "e84f2cb43768d5d43e161d7f8343edcf931848052c84e2066fe7cb5b4ee041f2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.30149",
    "kind": "arxiv",
    "version": 1
  }
}