Pith Number

pith:5V6ETLBH

pith:2019:5V6ETLBHMAYHBAMJEP2GOYH6I2

not attested not anchored not stored refs pending

The NSVZ $\beta$-function for theories regularized by higher covariant derivatives: the all-loop sum of matter and ghost singularities

Konstantin Stepanyantz

arxiv:1912.12589 v1 · 2019-12-29 · 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{5V6ETLBHMAYHBAMJEP2GOYH6I2}

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	2026-07-05T00:41:53.927332Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ed7c49ac27603070818923f46760fe46871b77358f097a2d0d35a5efabe6a31d

Aliases

arxiv: 1912.12589 · arxiv_version: 1912.12589v1 · doi: 10.48550/arxiv.1912.12589 · pith_short_12: 5V6ETLBHMAYH · pith_short_16: 5V6ETLBHMAYHBAMJ · pith_short_8: 5V6ETLBH

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/5V6ETLBHMAYHBAMJEP2GOYH6I2 \
  | 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: ed7c49ac27603070818923f46760fe46871b77358f097a2d0d35a5efabe6a31d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3a28e17d743249774f4144545046320c53450e440ffcd6ef55e02a94315dbc30",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2019-12-29T06:29:17Z",
    "title_canon_sha256": "e84fc99469dea6090061909e483cb49b7c304f1de1f042d139a368d242296279"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1912.12589",
    "kind": "arxiv",
    "version": 1
  }
}