pith. sign in
Pith Number

pith:BFZM25HK

pith:2013:BFZM25HKTYXFQLLKXGJVITMSKC
not attested not anchored not stored refs pending

The role of vector fields in modified gravity scenarios

Cape Town), Gianmassimo Tasinato (ICG, Kazuya Koyama (ICG, Nima Khosravi (AIMS, Portsmouth)

arxiv:1307.0077 v2 · 2013-06-29 · hep-th · astro-ph.CO · gr-qc

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{BFZM25HKTYXFQLLKXGJVITMSKC}

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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 2026-05-18T01:49:06.294328Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

0972cd74ea9e2e582d6ab993544d9250a74593c8a73995cd5c1d47d2f3e8f4c3

Aliases

arxiv: 1307.0077 · arxiv_version: 1307.0077v2 · doi: 10.48550/arxiv.1307.0077 · pith_short_12: BFZM25HKTYXF · pith_short_16: BFZM25HKTYXFQLLK · pith_short_8: BFZM25HK
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/BFZM25HKTYXFQLLKXGJVITMSKC \
  | 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: 0972cd74ea9e2e582d6ab993544d9250a74593c8a73995cd5c1d47d2f3e8f4c3
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "49f9f5e3284a269d40e79a04e672afe1d2ece45e4cf506d07093be18400dca43",
    "cross_cats_sorted": [
      "astro-ph.CO",
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2013-06-29T08:55:56Z",
    "title_canon_sha256": "5a370b200cc677547944a94ed582544d16ad4af333e9e43789c72715cc58116a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.0077",
    "kind": "arxiv",
    "version": 2
  }
}