Pith Number

pith:B64A7RQU

pith:2006:B64A7RQUMQ66GNGUZA3LWGQMQL

not attested not anchored not stored refs pending

Introduction to the functional RG and applications to gauge theories

Holger Gies (Heidelberg U.)

arxiv:hep-ph/0611146 v1 · 2006-11-10 · 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{B64A7RQUMQ66GNGUZA3LWGQMQL}

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

7 papers in Pith

Scalar diquarks in the QCD vacuum

Phase structure of strong interaction matter from Functional QCD

Rethinking quantum information in gravity and fields

Hard cutoff and gauge theories

$CP$ phase structure of QCD from functional renormalization group

Receipt and verification

First computed	2026-05-18T01:39:02.269879Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0fb80fc614643de334d4c836bb1a0c82d8f2a8b64114983e671fe7ad83ca35ad

Aliases

arxiv: hep-ph/0611146 · arxiv_version: hep-ph/0611146v1 · doi: 10.48550/arxiv.hep-ph/0611146 · pith_short_12: B64A7RQUMQ66 · pith_short_16: B64A7RQUMQ66GNGU · pith_short_8: B64A7RQU

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/B64A7RQUMQ66GNGUZA3LWGQMQL \
  | 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: 0fb80fc614643de334d4c836bb1a0c82d8f2a8b64114983e671fe7ad83ca35ad

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "40be6866dbff06c13636dd03e8297d045ca76ef03757804b9c39e246b8da22b9",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "2006-11-10T15:55:38Z",
    "title_canon_sha256": "6767bf29e996de4bde4c7a477bdff32f3eec3cc92a5bf74ea1d1dc3fcd47651b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/0611146",
    "kind": "arxiv",
    "version": 1
  }
}