Pith Number

pith:A767USKO

pith:2021:A767USKOCSHIHDLG5GS3BPZDSH

not attested not anchored not stored refs pending

Higher-order $\beta$-functions in the Standard Model and beyond

Florian Herren

arxiv:2110.06938 v1 · 2021-10-13 · 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{A767USKOCSHIHDLG5GS3BPZDSH}

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	2026-07-05T03:22:37.736825Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

07fdfa494e148e838d66e9a5b0bf2391e99f33d63dd0b5d4529c02680d2e1aa6

Aliases

arxiv: 2110.06938 · arxiv_version: 2110.06938v1 · doi: 10.48550/arxiv.2110.06938 · pith_short_12: A767USKOCSHI · pith_short_16: A767USKOCSHIHDLG · pith_short_8: A767USKO

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/A767USKOCSHIHDLG5GS3BPZDSH \
  | 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: 07fdfa494e148e838d66e9a5b0bf2391e99f33d63dd0b5d4529c02680d2e1aa6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dec877a57ef8e1b1dc65f07b4ab87728579117e98dc0f2a32722915a94c06e3c",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2021-10-13T18:00:01Z",
    "title_canon_sha256": "ee0d8e09227bb4fa9841470ed881778d2581f2656e20caed6047f22e37cb895b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2110.06938",
    "kind": "arxiv",
    "version": 1
  }
}