Pith Number

pith:YCCP7B66

pith:2001:YCCP7B66L3Y3FXLJUFSUJAU6JP

not attested not anchored not stored refs pending

Why and how to use a differential equation method to calculate multi-loop integrals

H.Czyz, M.Czachor

arxiv:hep-ph/0110351 v1 · 2001-10-26 · 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{YCCP7B66L3Y3FXLJUFSUJAU6JP}

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	2026-05-18T04:26:44.269435Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c084ff87de5ef1b2dd69a16544829e4bf9b0f5539b77c5d01216f52e0a844272

Aliases

arxiv: hep-ph/0110351 · arxiv_version: hep-ph/0110351v1 · doi: 10.48550/arxiv.hep-ph/0110351 · pith_short_12: YCCP7B66L3Y3 · pith_short_16: YCCP7B66L3Y3FXLJ · pith_short_8: YCCP7B66

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/YCCP7B66L3Y3FXLJUFSUJAU6JP \
  | 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: c084ff87de5ef1b2dd69a16544829e4bf9b0f5539b77c5d01216f52e0a844272

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cebc97af3b05241abbd0beb684b1a9bec1ec14942b3a93ea8be60a1a1cf7dbef",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "2001-10-26T14:56:45Z",
    "title_canon_sha256": "89ccf0c0262a0b0dfed79fe0a2f2ccca8cc0cc713a27c31a6e860ca907f21ab9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/0110351",
    "kind": "arxiv",
    "version": 1
  }
}