Pith Number

pith:BOILU6KK

pith:2005:BOILU6KKPKWGHVXK3XPYXJTBNE

not attested not anchored not stored refs pending

Checking the transverse Ward-Takahashi relation at one loop order in 4-dimensions

M.R. Pennington, R. Williams

arxiv:hep-ph/0511254 v2 · 2005-11-22 · 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{BOILU6KKPKWGHVXK3XPYXJTBNE}

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	2026-07-04T16:55:54.740672Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0b90ba794a7aac63d6eadddf8ba6616924b3c9dbd86c12b7b099f53258ba7896

Aliases

arxiv: hep-ph/0511254 · arxiv_version: hep-ph/0511254v2 · doi: 10.48550/arxiv.hep-ph/0511254 · pith_short_12: BOILU6KKPKWG · pith_short_16: BOILU6KKPKWGHVXK · pith_short_8: BOILU6KK

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/BOILU6KKPKWGHVXK3XPYXJTBNE \
  | 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: 0b90ba794a7aac63d6eadddf8ba6616924b3c9dbd86c12b7b099f53258ba7896

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f108af8ff6468b4412c7ed63a2b8bd1e70861aac4357b08fa13efeb946df7722",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "2005-11-22T13:51:17Z",
    "title_canon_sha256": "0c35062222cc66bb472db5bfe90c460c6110465442308c5a7a2d0c43d18afc45"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/0511254",
    "kind": "arxiv",
    "version": 2
  }
}