Pith Number

pith:A2KLBCWL

pith:2026:A2KLBCWLW6MPGIA2Z7OHXVVRZH

not attested not anchored not stored refs pending

Scale dependence of the effective gravitational constant from functional renormalization group

Bing Sun, Ruiqi Liang, Zhoujian Cao

arxiv:2608.07875 v1 · 2026-08-08 · 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{A2KLBCWLW6MPGIA2Z7OHXVVRZH}

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	2026-08-11T01:18:48.273094Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0694b08acbb798f3201acfdc7bd6b1c9da83e8d19cf87f66fb54c5fd852b2e47

Aliases

arxiv: 2608.07875 · arxiv_version: 2608.07875v1 · doi: 10.48550/arxiv.2608.07875 · pith_short_12: A2KLBCWLW6MP · pith_short_16: A2KLBCWLW6MPGIA2 · pith_short_8: A2KLBCWL

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/A2KLBCWLW6MPGIA2Z7OHXVVRZH \
  | 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: 0694b08acbb798f3201acfdc7bd6b1c9da83e8d19cf87f66fb54c5fd852b2e47

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "179720e1b505af4d47fb55d95d9ec6d1bfe4ec7fd662b3e587f38e393638e1b2",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2026-08-08T03:00:21Z",
    "title_canon_sha256": "faaeadec80022d861429614439b56eb5f7da2b8aa7b724f4fde81f4ed36d7ee4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.07875",
    "kind": "arxiv",
    "version": 1
  }
}