Pith Number

pith:4BKJCME6

pith:2013:4BKJCME6B6PG4DW3WBUWBO2GAP

not attested not anchored not stored refs pending

On the number of relevant operators in asymptotically safe gravity

Dario Benedetti

arxiv:1301.4422 v3 · 2013-01-18 · 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{4BKJCME6B6PG4DW3WBUWBO2GAP}

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	2026-05-18T03:25:43.389415Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e05491309e0f9e6e0edbb06960bb4603dffa0ad81919b4657e6bc77e0ba9e1fc

Aliases

arxiv: 1301.4422 · arxiv_version: 1301.4422v3 · doi: 10.48550/arxiv.1301.4422 · pith_short_12: 4BKJCME6B6PG · pith_short_16: 4BKJCME6B6PG4DW3 · pith_short_8: 4BKJCME6

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/4BKJCME6B6PG4DW3WBUWBO2GAP \
  | 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: e05491309e0f9e6e0edbb06960bb4603dffa0ad81919b4657e6bc77e0ba9e1fc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1040f0b98f53d3c63888bd16110a8049f9086746786ab4a9a8ae8a6fcefe84a8",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2013-01-18T16:24:52Z",
    "title_canon_sha256": "df15a776fe7ba2d05f2e98ea3c0cba858b1fca15df9bcfcdd6156eb28b88af96"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.4422",
    "kind": "arxiv",
    "version": 3
  }
}