Pith Number

pith:E3G3HGZM

pith:2019:E3G3HGZMQPXTCNEKMQZWSQETPT

not attested not anchored not stored refs pending

Calculating $\beta$-function coefficients of Renormalization Group Equations

Joydeep Roy

arxiv:1907.10238 v1 · 2019-07-24 · hep-ph · 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{E3G3HGZMQPXTCNEKMQZWSQETPT}

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	2026-05-17T23:39:38.512748Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

26cdb39b2c83ef31348a64336940937cfac03d00fc84228a5933ee55c3b2532e

Aliases

arxiv: 1907.10238 · arxiv_version: 1907.10238v1 · doi: 10.48550/arxiv.1907.10238 · pith_short_12: E3G3HGZMQPXT · pith_short_16: E3G3HGZMQPXTCNEK · pith_short_8: E3G3HGZM

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/E3G3HGZMQPXTCNEKMQZWSQETPT \
  | 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: 26cdb39b2c83ef31348a64336940937cfac03d00fc84228a5933ee55c3b2532e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4c1a54066fa81a26a8589fb26b6e4f000d74b7cbdad844f81589605a3ba24e6f",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2019-07-24T04:51:42Z",
    "title_canon_sha256": "1883de65dae22c185fe7d50c3fb06f3c7cfcdb690e5ffe16266895193a03f382"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.10238",
    "kind": "arxiv",
    "version": 1
  }
}