Pith Number

pith:CBNR2U5R

pith:2026:CBNR2U5R6LRNN3UJBQ73ZUA4DV

not attested not anchored not stored refs pending

Tonal parsimony in chord-sequence analysis: combining modulation cost and tonal vocabulary

Fran\c{c}ois Pachet

arxiv:2606.03459 v1 · 2026-06-02 · cs.SD · cs.AI

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CBNR2U5R6LRNN3UJBQ73ZUA4DV}

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	2026-06-03T01:05:58.443472Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

105b1d53b1f2e2d6ee890c3fbcd01c1d7b7e5e0294cec73ab5f5129fc420bdc3

Aliases

arxiv: 2606.03459 · arxiv_version: 2606.03459v1 · doi: 10.48550/arxiv.2606.03459 · pith_short_12: CBNR2U5R6LRN · pith_short_16: CBNR2U5R6LRNN3UJ · pith_short_8: CBNR2U5R

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/CBNR2U5R6LRNN3UJBQ73ZUA4DV \
  | 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: 105b1d53b1f2e2d6ee890c3fbcd01c1d7b7e5e0294cec73ab5f5129fc420bdc3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e438d6f959164bab43670e91f985c76f9dd1b6576379c6cce2985af846b69555",
    "cross_cats_sorted": [
      "cs.AI"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.SD",
    "submitted_at": "2026-06-02T10:36:05Z",
    "title_canon_sha256": "63b5c03c9140b097dee895854c3e2472d4b4711eae1a36ad5747baab198c445b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.03459",
    "kind": "arxiv",
    "version": 1
  }
}