Pith Number

pith:VRTF3TZK

pith:2006:VRTF3TZK7BGCAZ2SOZ67U2NJQH

not attested not anchored not stored refs pending

The Art of Computing Loop Integrals

Stefan Weinzierl

arxiv:hep-ph/0604068 v1 · 2006-04-07 · 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{VRTF3TZK7BGCAZ2SOZ67U2NJQH}

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

1 paper in Pith

IBIS: Inverse BInomial sum Solver

Receipt and verification

First computed	2026-07-04T14:54:30.846860Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ac665dcf2af84c206752767dfa69a981dc888e74fdeb6dfcff51d3fe2d5bf7d1

Aliases

arxiv: hep-ph/0604068 · arxiv_version: hep-ph/0604068v1 · doi: 10.48550/arxiv.hep-ph/0604068 · pith_short_12: VRTF3TZK7BGC · pith_short_16: VRTF3TZK7BGCAZ2S · pith_short_8: VRTF3TZK

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/VRTF3TZK7BGCAZ2SOZ67U2NJQH \
  | 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: ac665dcf2af84c206752767dfa69a981dc888e74fdeb6dfcff51d3fe2d5bf7d1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5d14aa37de8ddcd0dbc6c12ab2693991a7e4a39b4f8a81c4535cb2ac2356d850",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "2006-04-07T07:45:47Z",
    "title_canon_sha256": "01f8096eb3d14c0781bbb8b9202b8dfe3af82dfbd216e614ce967d86130a6678"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/0604068",
    "kind": "arxiv",
    "version": 1
  }
}