Pith Number

pith:6HTJGHAR

pith:2016:6HTJGHARPQ2HLNTPZLCLMGTROL

not attested not anchored not stored refs pending

Renormalization Group Equation for $f(R)$ gravity on hyperbolic spaces

Kevin Falls, Nobuyoshi Ohta

arxiv:1607.08460 v2 · 2016-07-28 · hep-th · 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{6HTJGHARPQ2HLNTPZLCLMGTROL}

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.

Cited by

1 paper in Pith

Proper-time functional renormalization in $O(N)$ scalar models coupled to gravity

Receipt and verification

First computed	2026-05-18T01:02:37.548247Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f1e6931c117c3475b66fcac4b61a7172facadabb3f522794cba83af1fb69d1c5

Aliases

arxiv: 1607.08460 · arxiv_version: 1607.08460v2 · doi: 10.48550/arxiv.1607.08460 · pith_short_12: 6HTJGHARPQ2H · pith_short_16: 6HTJGHARPQ2HLNTP · pith_short_8: 6HTJGHAR

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/6HTJGHARPQ2HLNTPZLCLMGTROL \
  | 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: f1e6931c117c3475b66fcac4b61a7172facadabb3f522794cba83af1fb69d1c5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cca1ae210a3b8d94136c002b04d5ca516798874c2a0f524e17cf96b62397214e",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2016-07-28T14:02:09Z",
    "title_canon_sha256": "dcbad914b24006d9fd7b7ea28ed9840113d487c0aaf87d70aa3750cf0edbf621"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.08460",
    "kind": "arxiv",
    "version": 2
  }
}