Pith Number

pith:Y4HUTTWI

pith:2025:Y4HUTTWIBGM3I4MYTHVP74P2GE

not attested not anchored not stored refs pending

Rapid and accurate numerical evolution of linear cosmological perturbations with non-cold relics

Jos\'e Luis Bernal, Lingyuan Ji, Marc Kamionkowski, Nanoom Lee, Sven G\"unther

arxiv:2506.01956 v2 · 2025-06-02 · 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{Y4HUTTWIBGM3I4MYTHVP74P2GE}

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	2026-07-05T12:03:27.035729Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c70f49cec80999b4719899eafff1fa31164f9710f2bb229a6508a11d6c1b9213

Aliases

arxiv: 2506.01956 · arxiv_version: 2506.01956v2 · doi: 10.48550/arxiv.2506.01956 · pith_short_12: Y4HUTTWIBGM3 · pith_short_16: Y4HUTTWIBGM3I4MY · pith_short_8: Y4HUTTWI

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/Y4HUTTWIBGM3I4MYTHVP74P2GE \
  | 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: c70f49cec80999b4719899eafff1fa31164f9710f2bb229a6508a11d6c1b9213

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ec136449b7d7e474ab8abc067b753b54d714cb4cfcd44f0f6768d4867315639d",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/publicdomain/zero/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2025-06-02T17:59:58Z",
    "title_canon_sha256": "504e7cabb64bb00e8e8fca7f77baebc04512110f969429936e322e80305e4424"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.01956",
    "kind": "arxiv",
    "version": 2
  }
}