Pith Number

pith:J6WSRUTG

pith:2026:J6WSRUTGORJI6GX3ASC74MHE2E

not attested not anchored not stored refs pending

Classical Renormalization Group Equations for General Relativity

A. Codello, F. Guti\'errez, K. Falls

arxiv:2605.22037 v1 · 2026-05-21 · gr-qc · hep-th · math-ph · math.MP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{J6WSRUTGORJI6GX3ASC74MHE2E}

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	2026-05-22T01:04:21.747422Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4fad28d26674528f1afb0485fe30e4d11d90f5403164651c4aa4a62ce5e2fe70

Aliases

arxiv: 2605.22037 · arxiv_version: 2605.22037v1 · doi: 10.48550/arxiv.2605.22037 · pith_short_12: J6WSRUTGORJI · pith_short_16: J6WSRUTGORJI6GX3 · pith_short_8: J6WSRUTG

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/J6WSRUTGORJI6GX3ASC74MHE2E \
  | 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: 4fad28d26674528f1afb0485fe30e4d11d90f5403164651c4aa4a62ce5e2fe70

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "782bb123d0ed889cea22a6ad9aa24b794720670f682727b457c280cf9cb5e4dc",
    "cross_cats_sorted": [
      "hep-th",
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2026-05-21T06:20:50Z",
    "title_canon_sha256": "d12fa6dc90e727e68a0fec8158be0b03a741f4579443974dcea17515dada11fc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.22037",
    "kind": "arxiv",
    "version": 1
  }
}