Pith Number

pith:I7F5AFA7

pith:2005:I7F5AFA7VACZONDOCAMUMJF3D4

not attested not anchored not stored refs pending

Displacement Operator Formalism for Renormalization and Gauge Dependence to All Orders

Apostolos Pilaftsis, Daniele Binosi, Joannis Papavassiliou

arxiv:hep-ph/0501259 v1 · 2005-01-27 · 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{I7F5AFA7VACZONDOCAMUMJF3D4}

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

3 papers in Pith

Renormalisation Group Invariants from Scaling and Non-overlapping Symmetries

Receipt and verification

First computed	2026-07-04T16:55:28.579083Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

47cbd0141fa80597346e10194624bb1f1036b753e7cdce9c2d60790e62d4c477

Aliases

arxiv: hep-ph/0501259 · arxiv_version: hep-ph/0501259v1 · doi: 10.48550/arxiv.hep-ph/0501259 · pith_short_12: I7F5AFA7VACZ · pith_short_16: I7F5AFA7VACZONDO · pith_short_8: I7F5AFA7

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/I7F5AFA7VACZONDOCAMUMJF3D4 \
  | 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: 47cbd0141fa80597346e10194624bb1f1036b753e7cdce9c2d60790e62d4c477

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5cae8163e8789b42cec78bb0e69fcbf79f75181c4035bcfab8263223f1a9b806",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "2005-01-27T16:53:10Z",
    "title_canon_sha256": "b9533864261922f7a1ff4311e7c34e18bc73fa55a375ee38de072df5836154f7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/0501259",
    "kind": "arxiv",
    "version": 1
  }
}