Pith Number

pith:ZKWSHXPH

pith:2026:ZKWSHXPHR5ESA4CBSBQ4G5PHO7

not attested not anchored not stored refs pending

Size Dependence of the Sommerfeld Enhancement for Puffy Dark Matter

Jin Min Yang, Wen-Na Yang, Wu-long Xu

arxiv:2606.29710 v1 · 2026-06-29 · hep-ph · astro-ph.HE · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZKWSHXPHR5ESA4CBSBQ4G5PHO7}

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	2026-06-30T02:17:31.597678Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

caad23dde78f492070419061c375e777fa7d6d876cf8e7985cf1272c4f7b0ab2

Aliases

arxiv: 2606.29710 · arxiv_version: 2606.29710v1 · doi: 10.48550/arxiv.2606.29710 · pith_short_12: ZKWSHXPHR5ES · pith_short_16: ZKWSHXPHR5ESA4CB · pith_short_8: ZKWSHXPH

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/ZKWSHXPHR5ESA4CBSBQ4G5PHO7 \
  | 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: caad23dde78f492070419061c375e777fa7d6d876cf8e7985cf1272c4f7b0ab2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e0d93979cdc1527affb59a789967f5d1f65c9c26b54c4057028949b73dc46700",
    "cross_cats_sorted": [
      "astro-ph.HE",
      "hep-th"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2026-06-29T02:27:52Z",
    "title_canon_sha256": "245464e2a9da0425f71d784afc687bdbf14e255de7323dff6b858f0758c1f9fa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.29710",
    "kind": "arxiv",
    "version": 1
  }
}