Pith Number

pith:4NNBP2NR

pith:2001:4NNBP2NRNP22KAMXG6CDV5HCHG

not attested not anchored not stored refs pending

Nested Sums, Expansion of Transcendental Functions and Multi-Scale Multi-Loop Integrals

Peter Uwer, Stefan Weinzierl, Sven Moch

arxiv:hep-ph/0110083 v2 · 2001-10-05 · hep-ph · hep-th · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4NNBP2NRNP22KAMXG6CDV5HCHG}

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	2026-05-18T01:39:09.408794Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e35a17e9b16bf5a5019737843af4e2398cd781253fc04db7828850c7be46ca19

Aliases

arxiv: hep-ph/0110083 · arxiv_version: hep-ph/0110083v2 · doi: 10.48550/arxiv.hep-ph/0110083 · pith_short_12: 4NNBP2NRNP22 · pith_short_16: 4NNBP2NRNP22KAMX · pith_short_8: 4NNBP2NR

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/4NNBP2NRNP22KAMXG6CDV5HCHG \
  | 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: e35a17e9b16bf5a5019737843af4e2398cd781253fc04db7828850c7be46ca19

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e31172753c447249e61d19a4074dc0e0d877fe89dc83c5092333af72f9fc101e",
    "cross_cats_sorted": [
      "hep-th",
      "math.QA"
    ],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "2001-10-05T13:51:05Z",
    "title_canon_sha256": "35a8113f698faf4706794994683772bdb88228a738c0ff627a09e2bd32dc0f78"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/0110083",
    "kind": "arxiv",
    "version": 2
  }
}