Pith Number

pith:C3MNMJMQ

pith:2015:C3MNMJMQ4I3IC5Q7ZSW6CPLPKH

not attested not anchored not stored refs pending

A mathematical model for voice leading and its complexity

Alessandro Portaluri, Mattia G. Bergomi, Riccardo D. Jadanza

arxiv:1508.05833 v1 · 2015-08-18 · math.HO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{C3MNMJMQ4I3IC5Q7ZSW6CPLPKH}

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	2026-05-18T01:34:51.551362Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

16d8d62590e23681761fccade13d6f51ddf2e1de00ba36f40728cae5c081503f

Aliases

arxiv: 1508.05833 · arxiv_version: 1508.05833v1 · doi: 10.48550/arxiv.1508.05833 · pith_short_12: C3MNMJMQ4I3I · pith_short_16: C3MNMJMQ4I3IC5Q7 · pith_short_8: C3MNMJMQ

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/C3MNMJMQ4I3IC5Q7ZSW6CPLPKH \
  | 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: 16d8d62590e23681761fccade13d6f51ddf2e1de00ba36f40728cae5c081503f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a6e57944e0570b16c731e99417569f57f2e1d050ab15d4427bcbfbc52b930f62",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.HO",
    "submitted_at": "2015-08-18T07:07:21Z",
    "title_canon_sha256": "3bc84a05165d04ddc959b69c19bf5714a3c6568bb49d94dc7e136323426cd9d8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.05833",
    "kind": "arxiv",
    "version": 1
  }
}