Pith Number

pith:TYAP5PK2

pith:2026:TYAP5PK2OZQO6Y53KZVAKT5J4E

not attested not anchored not stored refs pending

Constraining the Coexistence of Primordial Black Holes and Particle Dark Matter with Neutrino Observations

James Unwin, Prolay Chanda, Sagnik Mukherjee

arxiv:2607.14253 v1 · 2026-07-15 · hep-ph · astro-ph.HE

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TYAP5PK2OZQO6Y53KZVAKT5J4E}

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	2026-07-17T00:21:01.460829Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9e00febd5a7660ef63bb566a054fa9e11f610f8aab7196496329e607fc106678

Aliases

arxiv: 2607.14253 · arxiv_version: 2607.14253v1 · doi: 10.48550/arxiv.2607.14253 · pith_short_12: TYAP5PK2OZQO · pith_short_16: TYAP5PK2OZQO6Y53 · pith_short_8: TYAP5PK2

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/TYAP5PK2OZQO6Y53KZVAKT5J4E \
  | 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: 9e00febd5a7660ef63bb566a054fa9e11f610f8aab7196496329e607fc106678

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ad7c4614bf2024b44b9a498cc356bf7ff4f5e74696eb2ecfefc6fc562517423f",
    "cross_cats_sorted": [
      "astro-ph.HE"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2026-07-15T18:12:36Z",
    "title_canon_sha256": "aded6f122a7304ce421b7702626b0ea5a8fec8f9241479655433b2003d35c9d7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.14253",
    "kind": "arxiv",
    "version": 1
  }
}