Pith Number

pith:ZKJTIFVE

pith:2026:ZKJTIFVEPVSNFVP7BM3XB4NTB2

not attested not anchored not stored refs pending

Conformal dark matter and MHz gravitational waves

Farruh Atamurotov, G. Mustafa, Imtiaz Khan, Niamat Ullah, Salvatore Capozziello

arxiv:2607.10607 v1 · 2026-07-12 · astro-ph.CO · hep-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZKJTIFVEPVSNFVP7BM3XB4NTB2}

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	2026-07-14T01:21:23.688222Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ca933416a47d64d2d5ff0b3770f1b30e832073d87e9e2cbb3bff2870c4b54665

Aliases

arxiv: 2607.10607 · arxiv_version: 2607.10607v1 · doi: 10.48550/arxiv.2607.10607 · pith_short_12: ZKJTIFVEPVSN · pith_short_16: ZKJTIFVEPVSNFVP7 · pith_short_8: ZKJTIFVE

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/ZKJTIFVEPVSNFVP7BM3XB4NTB2 \
  | 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: ca933416a47d64d2d5ff0b3770f1b30e832073d87e9e2cbb3bff2870c4b54665

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7468ac39407d70a924142b0248b2834d5d2994b1d5c5d6a05b2003eaea74c214",
    "cross_cats_sorted": [
      "hep-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2026-07-12T07:02:31Z",
    "title_canon_sha256": "fb2834719579eb875ebcffcf09216f72b0916ab020ba36cc99f332b5aa337e6d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.10607",
    "kind": "arxiv",
    "version": 1
  }
}