Pith Number

pith:UJVMXO4O

pith:2026:UJVMXO4OPWDONON3DWFZMCZWPP

not attested not anchored not stored refs pending

On phase-space singular surfaces in $f(R)$ gravity

David M.J. Vokrouhlick\'y, Dra\v{z}en Glavan

arxiv:2606.11453 v1 · 2026-06-09 · 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{UJVMXO4OPWDONON3DWFZMCZWPP}

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	2026-06-11T01:09:49.482278Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a26acbbb8e7d86e6b9bb1d8b960b367bec8750bcb931d993c53459c30d3ea744

Aliases

arxiv: 2606.11453 · arxiv_version: 2606.11453v1 · doi: 10.48550/arxiv.2606.11453 · pith_short_12: UJVMXO4OPWDO · pith_short_16: UJVMXO4OPWDONON3 · pith_short_8: UJVMXO4O

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/UJVMXO4OPWDONON3DWFZMCZWPP \
  | 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: a26acbbb8e7d86e6b9bb1d8b960b367bec8750bcb931d993c53459c30d3ea744

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c2ce1787ef36635425eeb2f6028accc9ac87782b7de14e27bd5266e95b20aa48",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2026-06-09T21:09:15Z",
    "title_canon_sha256": "708f832b100194ba84d8e4263e69be6c1ac2813cb1d39d4d29c905a3954d5c58"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.11453",
    "kind": "arxiv",
    "version": 1
  }
}