Pith Number

pith:HA24ERU3

pith:2026:HA24ERU3KIDJO7PAZCFKIFB2V2

not attested not anchored not stored refs pending

Dark Energy in Ghost-free non-local Gravity

G.S. Sharov, S.D. Odintsov, V.K. Oikonomou

arxiv:2605.22348 v1 · 2026-05-21 · gr-qc · 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{HA24ERU3KIDJO7PAZCFKIFB2V2}

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	2026-05-22T01:04:38.938438Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3835c2469b5206977de0c88aa4143aae946bff527dcd4c23b909251a8f209757

Aliases

arxiv: 2605.22348 · arxiv_version: 2605.22348v1 · doi: 10.48550/arxiv.2605.22348 · pith_short_12: HA24ERU3KIDJ · pith_short_16: HA24ERU3KIDJO7PA · pith_short_8: HA24ERU3

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/HA24ERU3KIDJO7PAZCFKIFB2V2 \
  | 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: 3835c2469b5206977de0c88aa4143aae946bff527dcd4c23b909251a8f209757

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cf33c8f46a928c02caebf826b473c7c585b879e4408f621d475cebc0aad8a15d",
    "cross_cats_sorted": [
      "astro-ph.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2026-05-21T11:34:03Z",
    "title_canon_sha256": "0f98b84e01c585a8d389ce40fbbfd3c756013b14da7704588b42ae440ed927ed"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.22348",
    "kind": "arxiv",
    "version": 1
  }
}