Pith Number

pith:PBSSEJTF

pith:2025:PBSSEJTFGLDX5RMEB5W7VYD5TD

not attested not anchored not stored refs pending

Is $\omega_0 \omega_a$CDM a good model for the clumpy Universe?

Armando Bernui, Camila Franco, Felipe Avila, Fernanda Oliveira

arxiv:2507.00779 v1 · 2025-07-01 · 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{PBSSEJTFGLDX5RMEB5W7VYD5TD}

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	2026-07-05T11:30:14.335689Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

786522266532c77ec5840f6dfae07d98c0da57ec43158d3ad3fa6092969b9dfc

Aliases

arxiv: 2507.00779 · arxiv_version: 2507.00779v1 · doi: 10.48550/arxiv.2507.00779 · pith_short_12: PBSSEJTFGLDX · pith_short_16: PBSSEJTFGLDX5RME · pith_short_8: PBSSEJTF

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/PBSSEJTFGLDX5RMEB5W7VYD5TD \
  | 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: 786522266532c77ec5840f6dfae07d98c0da57ec43158d3ad3fa6092969b9dfc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "75416d96ea6ec07d0a10c48bd82017791268f13c20eab11920ffb421769b1a94",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2025-07-01T14:19:03Z",
    "title_canon_sha256": "9524fe281fbb34d1c00eece94e522cdb3233a71b2d2c8af0b6db9563c035be77"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.00779",
    "kind": "arxiv",
    "version": 1
  }
}