Pith Number

pith:BR7AYVLJ

pith:2003:BR7AYVLJ6ECMBFT7LFWKAY7Q2M

not attested not anchored not stored refs pending

On Power Suppressed Operators and Gauge Invariance in SCET

Christian W. Bauer, Dan Pirjol, Iain W. Stewart

arxiv:hep-ph/0303156 v3 · 2003-03-19 · 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{BR7AYVLJ6ECMBFT7LFWKAY7Q2M}

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	2026-07-04T16:40:32.635195Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0c7e0c5569f104c0967f596ca063f0d30e1818e33495d779bd4c1216dddc9e0f

Aliases

arxiv: hep-ph/0303156 · arxiv_version: hep-ph/0303156v3 · doi: 10.48550/arxiv.hep-ph/0303156 · pith_short_12: BR7AYVLJ6ECM · pith_short_16: BR7AYVLJ6ECMBFT7 · pith_short_8: BR7AYVLJ

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/BR7AYVLJ6ECMBFT7LFWKAY7Q2M \
  | 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: 0c7e0c5569f104c0967f596ca063f0d30e1818e33495d779bd4c1216dddc9e0f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7e456bef76ffed8e36c3733d49ac9a89d4371f8063ab5c1f6399c995432ed104",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "2003-03-19T20:01:32Z",
    "title_canon_sha256": "4d2b9bb04039aa7629af9f0abd404168ae7aab66383d9e7d5811f97c4c62ebee"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/0303156",
    "kind": "arxiv",
    "version": 3
  }
}