Pith Number

pith:AWF5Q663

pith:2026:AWF5Q663PHINC4ZMXUPJ5ZLV6M

not attested not anchored not stored refs pending

Black holes in f(R) theory of gravity with compact extra dimensions

Arkady Popov, Sergey Rubin

arxiv:2607.03034 v1 · 2026-07-03 · 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{AWF5Q663PHINC4ZMXUPJ5ZLV6M}

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	2026-07-07T01:16:40.718867Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

058bd87bdb79d0d1732cbd1e9ee575f30566625d502e8cbba8de20455fc97ca0

Aliases

arxiv: 2607.03034 · arxiv_version: 2607.03034v1 · doi: 10.48550/arxiv.2607.03034 · pith_short_12: AWF5Q663PHIN · pith_short_16: AWF5Q663PHINC4ZM · pith_short_8: AWF5Q663

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/AWF5Q663PHINC4ZMXUPJ5ZLV6M \
  | 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: 058bd87bdb79d0d1732cbd1e9ee575f30566625d502e8cbba8de20455fc97ca0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "adbc7e78e992111753b0308440a32be75767a4087e40a720a7384ec26330c0ab",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2026-07-03T07:24:08Z",
    "title_canon_sha256": "4b739ca74f9ad46157302086fd6bdc132c0547a594952db367821993959076fe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.03034",
    "kind": "arxiv",
    "version": 1
  }
}