Pith Number

pith:3IW2TOYQ

pith:2003:3IW2TOYQQA6BTEVHEHCPKZOF75

not attested not anchored not stored refs pending

Calculation of Feynman integrals by difference equations

INFN-Bologna), S. Laporta (Univ. of Parma

arxiv:hep-ph/0311065 v2 · 2003-11-05 · 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{3IW2TOYQQA6BTEVHEHCPKZOF75}

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	2026-07-04T14:28:45.733614Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

da2da9bb10803c1992a721c4f565c5ff7ddd2b0d2251e37c085c320a195cbb67

Aliases

arxiv: hep-ph/0311065 · arxiv_version: hep-ph/0311065v2 · doi: 10.48550/arxiv.hep-ph/0311065 · pith_short_12: 3IW2TOYQQA6B · pith_short_16: 3IW2TOYQQA6BTEVH · pith_short_8: 3IW2TOYQ

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/3IW2TOYQQA6BTEVHEHCPKZOF75 \
  | 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: da2da9bb10803c1992a721c4f565c5ff7ddd2b0d2251e37c085c320a195cbb67

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e1700b7b944585f748d9ad1bbb8accf3f7447cb4014a1d6e526d9ca2d5f01c0d",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "2003-11-05T18:05:52Z",
    "title_canon_sha256": "3fb95fb3811e5d06ee8d7ffc5b8e5525ded48b47c22c09696b38855c68d1bde6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/0311065",
    "kind": "arxiv",
    "version": 2
  }
}