Pith Number

pith:ATDK2NQV

pith:2001:ATDK2NQVWPZRLAQOWZ4NYIS4G4

not attested not anchored not stored refs pending

Resummation of angular dependent corrections in spontaneously broken gauge theories

Michael Melles

arxiv:hep-ph/0108221 v1 · 2001-08-27 · 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{ATDK2NQVWPZRLAQOWZ4NYIS4G4}

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

Logarithmic EW corrections at two-loop

Receipt and verification

First computed	2026-05-18T04:13:26.404684Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

04c6ad3615b3f315820eb678dc225c373ee9d856e2b2f7ebf729cdecaae7aaaf

Aliases

arxiv: hep-ph/0108221 · arxiv_version: hep-ph/0108221v1 · doi: 10.48550/arxiv.hep-ph/0108221 · pith_short_12: ATDK2NQVWPZR · pith_short_16: ATDK2NQVWPZRLAQO · pith_short_8: ATDK2NQV

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/ATDK2NQVWPZRLAQOWZ4NYIS4G4 \
  | 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: 04c6ad3615b3f315820eb678dc225c373ee9d856e2b2f7ebf729cdecaae7aaaf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "246465a8b6e40fae8357af700a6293eb093b10d99e891bdcaf600375933aa7c1",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "2001-08-27T13:14:44Z",
    "title_canon_sha256": "3a34cbc714126600f1dff7fd6c946fa89f75dfa3b9b4a02d5f844d7650042f51"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/0108221",
    "kind": "arxiv",
    "version": 1
  }
}