Pith Number

pith:5F4P24LY

pith:2010:5F4P24LY7EXGL6AAVBDKTNTC4J

not attested not anchored not stored refs pending

Calculating multiloop integrals using dimensional recurrence relation and D-analyticity

R.N. Lee

arxiv:1007.2256 v1 · 2010-07-14 · 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{5F4P24LY7EXGL6AAVBDKTNTC4J}

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

2 papers in Pith

Feynman Integral Reduction without Integration-By-Parts

Loop integrals in de Sitter spacetime: The parity-split IBP system and $\mathrm{d}\log$-form differential equations

Receipt and verification

First computed	2026-05-18T04:33:39.202749Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e978fd7178f92e65f800a846a9b662e2429725b6d74cd52a5cf6b8ea54978817

Aliases

arxiv: 1007.2256 · arxiv_version: 1007.2256v1 · doi: 10.48550/arxiv.1007.2256 · pith_short_12: 5F4P24LY7EXG · pith_short_16: 5F4P24LY7EXGL6AA · pith_short_8: 5F4P24LY

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/5F4P24LY7EXGL6AAVBDKTNTC4J \
  | 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: e978fd7178f92e65f800a846a9b662e2429725b6d74cd52a5cf6b8ea54978817

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "30ee04e026eec38c99bc350be80f402722fff37358fc35f7fc774268010f6356",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2010-07-14T05:08:47Z",
    "title_canon_sha256": "4644b921e1aae47a5d4763e94341fb9f55c0a01321e394e151864ad72b58e3d9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1007.2256",
    "kind": "arxiv",
    "version": 1
  }
}