Pith Number

pith:PVIQXKP2

pith:1996:PVIQXKP2TWC2VWU46A75BKAVUY

not attested not anchored not stored refs pending

Explicit solutions of the 3--loop vacuum integral recurrence relations

Moscow State University), P.A.Baikov (Institute of Nuclear Physics

arxiv:hep-ph/9603267 v3 · 1996-03-12 · hep-ph · hep-th

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PVIQXKP2TWC2VWU46A75BKAVUY}

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

3 papers in Pith

Compact Syzygies for Feynman Integrals from Landau Singularities

Analytic results for heavy-quark contributions to charged-current DIS at NNLO

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

Receipt and verification

First computed	2026-07-04T15:21:33.529846Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7d510ba9fa9d85aada9cf03fd0a815a621f15a8b9e8edfc192379cdaa71cd837

Aliases

arxiv: hep-ph/9603267 · arxiv_version: hep-ph/9603267v3 · doi: 10.48550/arxiv.hep-ph/9603267 · pith_short_12: PVIQXKP2TWC2 · pith_short_16: PVIQXKP2TWC2VWU4 · pith_short_8: PVIQXKP2

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/PVIQXKP2TWC2VWU46A75BKAVUY \
  | 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: 7d510ba9fa9d85aada9cf03fd0a815a621f15a8b9e8edfc192379cdaa71cd837

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e70f432bd3d84a18bebdff179a19c62f4eded79f16210610a19e0c30c80904fb",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "1996-03-12T00:12:39Z",
    "title_canon_sha256": "dcd847286d7e29566a3b7959bc48c1fb647210d48aa69bc8429578b31f1d14a0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/9603267",
    "kind": "arxiv",
    "version": 3
  }
}