Pith Number

pith:3EMMREXT

pith:2026:3EMMREXTNBAWXEE4WEMIPXT7TE

not attested not anchored not stored refs pending

Cosmological evolution with decaying dark matter: an integral-equation approach

Anna Bencke, Jos\'e Luis Bernal, Marc Kamionkowski, Nanoom Lee

arxiv:2607.24910 v1 · 2026-07-27 · 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{3EMMREXTNBAWXEE4WEMIPXT7TE}

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	2026-07-29T00:24:51.261770Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d918c892f368416b909cb11887de7f9917c1d3f5ec00fecebd9b40be19cca382

Aliases

arxiv: 2607.24910 · arxiv_version: 2607.24910v1 · doi: 10.48550/arxiv.2607.24910 · pith_short_12: 3EMMREXTNBAW · pith_short_16: 3EMMREXTNBAWXEE4 · pith_short_8: 3EMMREXT

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/3EMMREXTNBAWXEE4WEMIPXT7TE \
  | 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: d918c892f368416b909cb11887de7f9917c1d3f5ec00fecebd9b40be19cca382

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "132cc1104d657b4f6c812de9cd92d6cb3a9dd69b8caa8ee3b10d4d2c7e90f2e3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2026-07-27T18:00:00Z",
    "title_canon_sha256": "c2b7494ca39339793534b388a5416489738b4575106913256ec05dd28eba7eae"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.24910",
    "kind": "arxiv",
    "version": 1
  }
}