Pith Number

pith:VWCAWTM6

pith:2026:VWCAWTM6HESL5CUGIEHVGJXU7T

not attested not anchored not stored refs pending

Positive Running of the Spectral Index for Scalar Theory and Modified Gravity

S.D. Odintsov, V.K.Oikonomou

arxiv:2605.17813 v1 · 2026-05-18 · gr-qc · astro-ph.CO · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VWCAWTM6HESL5CUGIEHVGJXU7T}

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	2026-05-20T00:04:59.681967Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ad840b4d9e3924be8a86410f5326f4fcf3b613a3156c8346249bc2904760c56c

Aliases

arxiv: 2605.17813 · arxiv_version: 2605.17813v1 · doi: 10.48550/arxiv.2605.17813 · pith_short_12: VWCAWTM6HESL · pith_short_16: VWCAWTM6HESL5CUG · pith_short_8: VWCAWTM6

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/VWCAWTM6HESL5CUGIEHVGJXU7T \
  | 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: ad840b4d9e3924be8a86410f5326f4fcf3b613a3156c8346249bc2904760c56c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c67844cf6ba8b29f88579c2a688ade8db8f352b8b23526eac7b5dffeabd5ba8e",
    "cross_cats_sorted": [
      "astro-ph.CO",
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2026-05-18T03:39:26Z",
    "title_canon_sha256": "c18127dd2a0ab5bdac7a70e929799d9f3c90c1ac407647ee25e5ca33c6aa4928"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.17813",
    "kind": "arxiv",
    "version": 1
  }
}