Pith Number

pith:4D3YPPK4

pith:2026:4D3YPPK4Z2SHBWLMNF6WJGYUO7

not attested not anchored not stored refs pending

Problems of cosmology on small scales of the Universe

I.D. Karachentsev

arxiv:2605.29899 v1 · 2026-05-28 · gr-qc · 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{4D3YPPK4Z2SHBWLMNF6WJGYUO7}

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	2026-05-29T02:05:58.541419Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e0f787bd5ccea470d96c697d649b1477ff6c5b12661542559feeb8fcb03544a5

Aliases

arxiv: 2605.29899 · arxiv_version: 2605.29899v1 · doi: 10.48550/arxiv.2605.29899 · pith_short_12: 4D3YPPK4Z2SH · pith_short_16: 4D3YPPK4Z2SHBWLM · pith_short_8: 4D3YPPK4

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/4D3YPPK4Z2SHBWLMNF6WJGYUO7 \
  | 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: e0f787bd5ccea470d96c697d649b1477ff6c5b12661542559feeb8fcb03544a5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "600cf5d9647b37af79b8f9c782f6afbda0a4d173e9e06402a15d39fa88f3eecd",
    "cross_cats_sorted": [
      "astro-ph.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2026-05-28T13:22:08Z",
    "title_canon_sha256": "e11aa31afb6b7627f753634d2558d927ebd428270dde51a4b5a83a3465dc3125"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.29899",
    "kind": "arxiv",
    "version": 1
  }
}