Pith Number

pith:NNRBVXCJ

pith:2026:NNRBVXCJ76TCPRZANW2VWHKWU7

not attested not anchored not stored refs pending

Solution of Canonical Differential Equations for Integrals on Arbitrary Geometries

Lorenzo Tancredi, Micha{\l} Czakon

arxiv:2606.30354 v1 · 2026-06-29 · 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{NNRBVXCJ76TCPRZANW2VWHKWU7}

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	2026-06-30T02:18:11.577811Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6b621adc49ffa627c7206db55b1d56a7d69969ada9e4ce712429b5c780be4f62

Aliases

arxiv: 2606.30354 · arxiv_version: 2606.30354v1 · doi: 10.48550/arxiv.2606.30354 · pith_short_12: NNRBVXCJ76TC · pith_short_16: NNRBVXCJ76TCPRZA · pith_short_8: NNRBVXCJ

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/NNRBVXCJ76TCPRZANW2VWHKWU7 \
  | 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: 6b621adc49ffa627c7206db55b1d56a7d69969ada9e4ce712429b5c780be4f62

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ce7bcac35eca0c10c647273f8619dbfb00dd3b2b734c93394c22e0b59ce59049",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2026-06-29T14:23:37Z",
    "title_canon_sha256": "52ac94fea472298a4e1863d31b0001658a7669ebdd95546f862e5f56f101dbf6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.30354",
    "kind": "arxiv",
    "version": 1
  }
}