Pith Number

pith:YICUW56M

pith:2026:YICUW56MGF4WWCYKEZVCRC3HQM

not attested not anchored not stored refs pending

Minimally modified gravity with Laplacian auxiliary constraints and an inflationary realization

Antonio De Felice, Jakkrit Sangtawee, Khamphee Karwan

arxiv:2607.26031 v1 · 2026-07-28 · astro-ph.CO · 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{YICUW56MGF4WWCYKEZVCRC3HQM}

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	2026-07-29T01:26:20.726647Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c2054b77cc31796b0b0a266a288b67831fd78ac1512839bb8e903dcf74671060

Aliases

arxiv: 2607.26031 · arxiv_version: 2607.26031v1 · doi: 10.48550/arxiv.2607.26031 · pith_short_12: YICUW56MGF4W · pith_short_16: YICUW56MGF4WWCYK · pith_short_8: YICUW56M

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/YICUW56MGF4WWCYKEZVCRC3HQM \
  | 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: c2054b77cc31796b0b0a266a288b67831fd78ac1512839bb8e903dcf74671060

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b988eceb1c2689db34b5922b94f0e1406775db47bdb061f7219f725069455693",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2026-07-28T17:41:47Z",
    "title_canon_sha256": "d658183a88a0f6d2f1554472285a87840601876bc8129762bb0413edf48087f5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.26031",
    "kind": "arxiv",
    "version": 1
  }
}