Pith Number

pith:TIU2Q4NW

pith:2015:TIU2Q4NWQVD2CAHWZXEYSD3OGK

not attested not anchored not stored refs pending

String duality transformations in $f(R)$ gravity from Noether symmetry approach

Daniele Vernieri, Salvatore Capozziello, S. J. Gabriele Gionti

arxiv:1508.00441 v2 · 2015-08-03 · gr-qc · 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{TIU2Q4NWQVD2CAHWZXEYSD3OGK}

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	2026-05-18T01:21:04.797835Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9a29a871b68547a100f6cdc9890f6e328546565cb0cf96c69bdd406b90cc8b51

Aliases

arxiv: 1508.00441 · arxiv_version: 1508.00441v2 · doi: 10.48550/arxiv.1508.00441 · pith_short_12: TIU2Q4NWQVD2 · pith_short_16: TIU2Q4NWQVD2CAHW · pith_short_8: TIU2Q4NW

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/TIU2Q4NWQVD2CAHWZXEYSD3OGK \
  | 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: 9a29a871b68547a100f6cdc9890f6e328546565cb0cf96c69bdd406b90cc8b51

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0b93d91861016c90968d04f06f824f662a082b529b5c5cb126e7594550c18dcf",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2015-08-03T15:01:06Z",
    "title_canon_sha256": "d63e03469a058248d4dd59f2026de696594799d2680f4b135e01c56467e234de"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.00441",
    "kind": "arxiv",
    "version": 2
  }
}