Pith Number

pith:5TCPOM5B

pith:2026:5TCPOM5BWU3EHEYNF72BNEWTO7

not attested not anchored not stored refs pending

New Solutions of RG Equations for \alpha_s and y_{top}

A.S. Fedoruk, D. I. Kazakov

arxiv:2606.28084 v1 · 2026-06-26 · 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{5TCPOM5BWU3EHEYNF72BNEWTO7}

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	2026-06-29T01:14:57.508914Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ecc4f733a1b53643930d2ff41692d377e48d1608312a7ddb616803a0b082e4b8

Aliases

arxiv: 2606.28084 · arxiv_version: 2606.28084v1 · doi: 10.48550/arxiv.2606.28084 · pith_short_12: 5TCPOM5BWU3E · pith_short_16: 5TCPOM5BWU3EHEYN · pith_short_8: 5TCPOM5B

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/5TCPOM5BWU3EHEYNF72BNEWTO7 \
  | 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: ecc4f733a1b53643930d2ff41692d377e48d1608312a7ddb616803a0b082e4b8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5ae6ead2902d5cdb016dc8a9cab1e00d23c3fc9255c3a391e2ff094df78d1640",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/publicdomain/zero/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2026-06-26T13:47:34Z",
    "title_canon_sha256": "b08fb8b188c109b97a278f8bf6e3dadb4e66ae5d3dde288c890fc2a3954e5330"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.28084",
    "kind": "arxiv",
    "version": 1
  }
}