Pith Number

pith:WJFNPAUL

pith:2025:WJFNPAULUOB44MH4KDYKFA3PGO

not attested not anchored not stored refs pending

Hidden self-energy contributions of collinear functions in SCET

Daekyoung Kang, Geoffrey T. Bodwin, June-Haak Ee, Xiang-Peng Wang

arxiv:2512.11647 v3 · 2025-12-12 · 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{WJFNPAULUOB44MH4KDYKFA3PGO}

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	2026-07-07T02:17:15.201439Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b24ad7828ba383ce30fc50f0a2836f3387b8d04731f32261b63d02a3b6892b6b

Aliases

arxiv: 2512.11647 · arxiv_version: 2512.11647v3 · doi: 10.48550/arxiv.2512.11647 · pith_short_12: WJFNPAULUOB4 · pith_short_16: WJFNPAULUOB44MH4 · pith_short_8: WJFNPAUL

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/WJFNPAULUOB44MH4KDYKFA3PGO \
  | 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: b24ad7828ba383ce30fc50f0a2836f3387b8d04731f32261b63d02a3b6892b6b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ead170c64eb28fcafc3548a35ceef198b65d0af5875e0b4d5a01e540e2bb9cd0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2025-12-12T15:23:43Z",
    "title_canon_sha256": "9546fb6c57000ac30fd3cce9e61d0db2bf04b36329db88ed4d0a0c5f671c6cdc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2512.11647",
    "kind": "arxiv",
    "version": 3
  }
}