Pith Number

pith:J2M5BPZJ

pith:2026:J2M5BPZJXJ7ORVX7IL6CVQN4G3

not attested not anchored not stored refs pending

Spherical Collapse and Halo Formation in a Cosmology with Decaying Dark Matter and a Semi-Cosmographic Dark Energy

Mohit Yadav, Tapomoy Guha Sarkar

arxiv:2606.27076 v1 · 2026-06-25 · 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{J2M5BPZJXJ7ORVX7IL6CVQN4G3}

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	2026-06-26T01:16:08.795307Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4e99d0bf29ba7ee8d6ff42fc2ac1bc36d5635dbd02fa0c7c9bb2185c5df2bfdf

Aliases

arxiv: 2606.27076 · arxiv_version: 2606.27076v1 · doi: 10.48550/arxiv.2606.27076 · pith_short_12: J2M5BPZJXJ7O · pith_short_16: J2M5BPZJXJ7ORVX7 · pith_short_8: J2M5BPZJ

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/J2M5BPZJXJ7ORVX7IL6CVQN4G3 \
  | 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: 4e99d0bf29ba7ee8d6ff42fc2ac1bc36d5635dbd02fa0c7c9bb2185c5df2bfdf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c79a556003deaa24fb15290202f0cd0cd9641bb12ab8b09d079071278a10d454",
    "cross_cats_sorted": [
      "hep-ph"
    ],
    "license": "http://creativecommons.org/publicdomain/zero/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2026-06-25T14:18:01Z",
    "title_canon_sha256": "d3ae4b2c3e18d0d50457adf10d95b84c81da8e1f47f7908fcbe20c26510b4430"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.27076",
    "kind": "arxiv",
    "version": 1
  }
}