Pith Number

pith:NKOWS2PY

pith:2026:NKOWS2PYP3H4JZ6YQ2TFYQU2E5

not attested not anchored not stored refs pending

Tonnetz-Driven Graph Wedgelet for Harmonic Complexity Reduction in Music Scores

Elisa Francomano, Emmanuel Caronna, Silvia Licciardi

arxiv:2607.08806 v1 · 2026-07-09 · cs.SD · cs.NA · math.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NKOWS2PYP3H4JZ6YQ2TFYQU2E5}

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	2026-07-13T00:17:18.276962Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6a9d6969f87ecfc4e7d886a65c429a275926a7d14b83f4ed6be76a71593203e5

Aliases

arxiv: 2607.08806 · arxiv_version: 2607.08806v1 · doi: 10.48550/arxiv.2607.08806 · pith_short_12: NKOWS2PYP3H4 · pith_short_16: NKOWS2PYP3H4JZ6Y · pith_short_8: NKOWS2PY

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/NKOWS2PYP3H4JZ6YQ2TFYQU2E5 \
  | 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: 6a9d6969f87ecfc4e7d886a65c429a275926a7d14b83f4ed6be76a71593203e5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e31f6f13023b800040805799347feb1dff85ff62f0889e7b53e4a7acd38eab23",
    "cross_cats_sorted": [
      "cs.NA",
      "math.NA"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.SD",
    "submitted_at": "2026-07-09T10:03:53Z",
    "title_canon_sha256": "3a7ff6c63db126f0be3217db3bcf865a0466041fe154c908749f5b3567303b0d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.08806",
    "kind": "arxiv",
    "version": 1
  }
}