Pith Number

pith:KCEVQMER

pith:2014:KCEVQMERDV4ZG2MGA2IU7HJXDN

not attested not anchored not stored refs pending

Mathematics and group theory in music

Athanase Papadopoulos (IRMA)

arxiv:1407.5757 v1 · 2014-07-22 · 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{KCEVQMERDV4ZG2MGA2IU7HJXDN}

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.

Cited by

1 paper in Pith

Music102: An $D_{12}$-equivariant transformer for chord progression accompaniment

Receipt and verification

First computed	2026-05-18T02:47:06.687254Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

50895830911d7993698606914f9d371b7d2e9073e719bbca860b1740ad2648aa

Aliases

arxiv: 1407.5757 · arxiv_version: 1407.5757v1 · doi: 10.48550/arxiv.1407.5757 · pith_short_12: KCEVQMERDV4Z · pith_short_16: KCEVQMERDV4ZG2MG · pith_short_8: KCEVQMER

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/KCEVQMERDV4ZG2MGA2IU7HJXDN \
  | 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: 50895830911d7993698606914f9d371b7d2e9073e719bbca860b1740ad2648aa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "acca619b163d4d2034eb1375a78eaa3d65ae825a7e74f02928155d9c0f93ac14",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.HO",
    "submitted_at": "2014-07-22T06:47:00Z",
    "title_canon_sha256": "1b8aa258ca1dd9864e138728ce6204e0d7e2dd34701f1b3a47b0ce101ed467ac"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1407.5757",
    "kind": "arxiv",
    "version": 1
  }
}