Pith Number

pith:ZTWREPKO

pith:2012:ZTWREPKOAIF45KQEEFFUTMA7OR

not attested not anchored not stored refs pending

The Renormalization Group and Weyl-invariance

A. Codello, C. Pagani, G. D'Odorico, R. Percacci

arxiv:1210.3284 v1 · 2012-10-11 · 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{ZTWREPKOAIF45KQEEFFUTMA7OR}

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	2026-05-18T02:22:30.269530Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cced123d4e020bceaa04214b49b01f7479d12dc4d6ca9ca03db2fcaaef4e8f4a

Aliases

arxiv: 1210.3284 · arxiv_version: 1210.3284v1 · doi: 10.48550/arxiv.1210.3284 · pith_short_12: ZTWREPKOAIF4 · pith_short_16: ZTWREPKOAIF45KQE · pith_short_8: ZTWREPKO

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/ZTWREPKOAIF45KQEEFFUTMA7OR \
  | 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: cced123d4e020bceaa04214b49b01f7479d12dc4d6ca9ca03db2fcaaef4e8f4a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fdbaa298cb8174e3bd47b4d7a8fc9cee0af6255bbdcc225b1de3bf95bc066e10",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2012-10-11T16:11:02Z",
    "title_canon_sha256": "1da94f77042a8d39a6d823907dd3a66ded5521b543d81e36e049e897ff6c699b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.3284",
    "kind": "arxiv",
    "version": 1
  }
}