Pith Number

pith:CLYMZFGD

pith:2025:CLYMZFGDKYMX67BW7YQLDFZW4E

not attested not anchored not stored refs pending

General Four-Loop Beta Function for Scalar-Fermion Theories in Three Dimensions

Emmanuel Stamou, Max Uetrecht, Tom Steudtner, York Schr\"oder

arxiv:2512.02123 v2 · 2025-12-01 · hep-th · cond-mat.str-el · hep-ph

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CLYMZFGDKYMX67BW7YQLDFZW4E}

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.

Cited by

1 paper in Pith

Local CFTs extremise $F$

Receipt and verification

First computed	2026-06-23T02:13:19.136333Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

12f0cc94c356197f7c36fe20b19736e12c7be123e5ed474936edbece4b3a9423

Aliases

arxiv: 2512.02123 · arxiv_version: 2512.02123v2 · doi: 10.48550/arxiv.2512.02123 · pith_short_12: CLYMZFGDKYMX · pith_short_16: CLYMZFGDKYMX67BW · pith_short_8: CLYMZFGD

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/CLYMZFGDKYMX67BW7YQLDFZW4E \
  | 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: 12f0cc94c356197f7c36fe20b19736e12c7be123e5ed474936edbece4b3a9423

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b96a8ae94894e1935b3e6fef1193f1c07c0bf87433e168e716826d339f281143",
    "cross_cats_sorted": [
      "cond-mat.str-el",
      "hep-ph"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2025-12-01T19:00:05Z",
    "title_canon_sha256": "b461086d13cdb6af0b58ef77e456ab2a5528d68b4bdd33ed6688ffc19ffc28c7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2512.02123",
    "kind": "arxiv",
    "version": 2
  }
}