Pith Number

pith:LFREXHBQ

pith:2026:LFREXHBQEWAVD5ZO4SWBYBBYKO

not attested not anchored not stored refs pending

Effective dynamics of a homogeneous and isotropic universe with quantum curvature

Ilkka M\"akinen

arxiv:2606.01930 v1 · 2026-06-01 · gr-qc

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LFREXHBQEWAVD5ZO4SWBYBBYKO}

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	2026-06-02T02:05:00.798241Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

59624b9c30258151f72ee4ac1c0438539e0b635847ae5b803206aa2679a9f164

Aliases

arxiv: 2606.01930 · arxiv_version: 2606.01930v1 · doi: 10.48550/arxiv.2606.01930 · pith_short_12: LFREXHBQEWAV · pith_short_16: LFREXHBQEWAVD5ZO · pith_short_8: LFREXHBQ

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/LFREXHBQEWAVD5ZO4SWBYBBYKO \
  | 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: 59624b9c30258151f72ee4ac1c0438539e0b635847ae5b803206aa2679a9f164

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c40bde6246df0a486680aecd0142e7d0e83189799852926b34dc3f422a9f38c6",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2026-06-01T09:00:00Z",
    "title_canon_sha256": "3b86982a28c9233f7a3be032709ab291fc7ed0807694ba5334c0ebc2ba2cad12"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.01930",
    "kind": "arxiv",
    "version": 1
  }
}