Pith Number

pith:2KBR6TCX

pith:2024:2KBR6TCXAMNXLHWWBQJ4XN6N4V

not attested not anchored not stored refs pending

FREmu: Power Spectrum Emulator for $f(R)$ Gravity

Jiachen Bai, Junqing Xia

arxiv:2405.05840 v2 · 2024-05-09 · astro-ph.CO · astro-ph.IM

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2KBR6TCXAMNXLHWWBQJ4XN6N4V}

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	2026-07-05T09:45:09.989233Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d2831f4c57031b759ed60c13cbb7cde54400895b970a536cdc4a9eb94234de06

Aliases

arxiv: 2405.05840 · arxiv_version: 2405.05840v2 · doi: 10.48550/arxiv.2405.05840 · pith_short_12: 2KBR6TCXAMNX · pith_short_16: 2KBR6TCXAMNXLHWW · pith_short_8: 2KBR6TCX

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/2KBR6TCXAMNXLHWWBQJ4XN6N4V \
  | 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: d2831f4c57031b759ed60c13cbb7cde54400895b970a536cdc4a9eb94234de06

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dd5dc4f37fe46612b97fca123275027b8df9a9c24a803a94154e62c63cfee34e",
    "cross_cats_sorted": [
      "astro-ph.IM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2024-05-09T15:21:22Z",
    "title_canon_sha256": "ce5079b778e981243c47e7921eb2455f9f72387a24e1af8a1c1643d8db361d67"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2405.05840",
    "kind": "arxiv",
    "version": 2
  }
}