Pith Number

pith:VEZYSQ33

pith:2023:VEZYSQ33SFJIWAHHTM7QLCAJJO

not attested not anchored not stored refs pending

Optimizing the Evolution of Perturbations in the $\Lambda$CDM Universe

Anthony Challinor, Nicholas Choustikov, Zvonimir Vlah

arxiv:2305.09337 v1 · 2023-05-16 · 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{VEZYSQ33SFJIWAHHTM7QLCAJJO}

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	2026-07-05T06:38:57.388440Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a93389437b91528b00e79b3f0588094bae11311861a5bf041a551792d31449be

Aliases

arxiv: 2305.09337 · arxiv_version: 2305.09337v1 · doi: 10.48550/arxiv.2305.09337 · pith_short_12: VEZYSQ33SFJI · pith_short_16: VEZYSQ33SFJIWAHH · pith_short_8: VEZYSQ33

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/VEZYSQ33SFJIWAHHTM7QLCAJJO \
  | 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: a93389437b91528b00e79b3f0588094bae11311861a5bf041a551792d31449be

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7cbdb3a18dc414411844933c3f69e2c8f333eccb5d431dfb7d8802e4e1ad983e",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2023-05-16T10:29:44Z",
    "title_canon_sha256": "60d6d9734642c0ac8055c3b44556cfb9f074845140a2eecdc80e6d4827f17fc9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2305.09337",
    "kind": "arxiv",
    "version": 1
  }
}