Pith Number

pith:LIGKRXYM

pith:2003:LIGKRXYMV4JDCQ3HFAFMLRTZJZ

not attested not anchored not stored refs pending

Evaluation of two-loop self-energy basis integrals using differential equations

Stephen P. Martin

arxiv:hep-ph/0307101 v1 · 2003-07-08 · 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{LIGKRXYMV4JDCQ3HFAFMLRTZJZ}

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

Rare $W \to B_c + \gamma$ decay up to the NNLO and NLL accuracy in QCD

Receipt and verification

First computed	2026-05-18T02:36:30.612354Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5a0ca8df0caf12314367280ac5c6794e6775eda7e2a5237dbddb599aaa59c234

Aliases

arxiv: hep-ph/0307101 · arxiv_version: hep-ph/0307101v1 · doi: 10.48550/arxiv.hep-ph/0307101 · pith_short_12: LIGKRXYMV4JD · pith_short_16: LIGKRXYMV4JDCQ3H · pith_short_8: LIGKRXYM

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/LIGKRXYMV4JDCQ3HFAFMLRTZJZ \
  | 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: 5a0ca8df0caf12314367280ac5c6794e6775eda7e2a5237dbddb599aaa59c234

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8faa70497b70d8f5eb32a7c9e25b1bd62d3d7fb12d135e596c5d5d49324f1e02",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "2003-07-08T18:47:05Z",
    "title_canon_sha256": "8e52c0571c1047b357070be855ecdb13c86cb5e8ca2f46d869a59a90c6764eb7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/0307101",
    "kind": "arxiv",
    "version": 1
  }
}