Pith Number

pith:6MBS46OR

pith:2005:6MBS46ORPAIFKQ3AWCAZQBWVPH

not attested not anchored not stored refs pending

A practical criterion of irreducibility of multi--loop Feynman integrals

P.A. Baikov

arxiv:hep-ph/0507053 v2 · 2005-07-05 · 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{6MBS46ORPAIFKQ3AWCAZQBWVPH}

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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

Landau's Leviathans

On the spanning cuts consistency problem in the IBP reductions of Feynman integrals

Receipt and verification

First computed	2026-07-04T16:55:44.888644Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f3032e79d17810554360b0819806d579c9846257af8fb6cd9067e5149f67242b

Aliases

arxiv: hep-ph/0507053 · arxiv_version: hep-ph/0507053v2 · doi: 10.48550/arxiv.hep-ph/0507053 · pith_short_12: 6MBS46ORPAIF · pith_short_16: 6MBS46ORPAIFKQ3A · pith_short_8: 6MBS46OR

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/6MBS46ORPAIFKQ3AWCAZQBWVPH \
  | 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: f3032e79d17810554360b0819806d579c9846257af8fb6cd9067e5149f67242b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "48b83ba01d81f8bbd5155637678b7befbcf6016d2472222a0adab06bf0caeedf",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "2005-07-05T12:21:05Z",
    "title_canon_sha256": "84e2db58c333e13bbeabf73552a5bca5d4f1768667495ddead02f314e9dd58b9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/0507053",
    "kind": "arxiv",
    "version": 2
  }
}