Pith Number

pith:NDEPLQNC

pith:2026:NDEPLQNC3KNEFASQJ66C5GUT33

not attested not anchored not stored refs pending

Ultralight dark matter mixed with primordial black holes

Xing-Yu Yang

arxiv:2606.31629 v1 · 2026-06-30 · astro-ph.CO · astro-ph.GA · gr-qc · 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{NDEPLQNC3KNEFASQJ66C5GUT33}

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	2026-07-01T01:18:09.734006Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

68c8f5c1a2da9a4282504fbc2e9a93dee7550451da31e2200dd2da11004dd662

Aliases

arxiv: 2606.31629 · arxiv_version: 2606.31629v1 · doi: 10.48550/arxiv.2606.31629 · pith_short_12: NDEPLQNC3KNE · pith_short_16: NDEPLQNC3KNEFASQ · pith_short_8: NDEPLQNC

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/NDEPLQNC3KNEFASQJ66C5GUT33 \
  | 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: 68c8f5c1a2da9a4282504fbc2e9a93dee7550451da31e2200dd2da11004dd662

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c17467a24f70686891e92aa9e33fbab54821dfe178e60b696261384170883afa",
    "cross_cats_sorted": [
      "astro-ph.GA",
      "gr-qc",
      "hep-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2026-06-30T13:13:03Z",
    "title_canon_sha256": "cd9ddec99f6fbd527d81c7ed0fc9f968aef703a9f17ff927c3aff88e1036466b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.31629",
    "kind": "arxiv",
    "version": 1
  }
}