Pith Number

pith:5RAC6XGW

pith:2013:5RAC6XGWEOZKYM4EIHUQ2MLOD7

not attested not anchored not stored refs pending

A Non-Pythagorean Musical Scale Based on Logarithms

Robert P. Schneider

arxiv:1312.5020 v1 · 2013-12-18 · math.HO · math.NT · physics.class-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{5RAC6XGWEOZKYM4EIHUQ2MLOD7}

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	2026-05-18T03:04:15.095995Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ec402f5cd623b2ac338441e90d316e1fc84aab78f5214e993f9c30ad30ee3ec1

Aliases

arxiv: 1312.5020 · arxiv_version: 1312.5020v1 · doi: 10.48550/arxiv.1312.5020 · pith_short_12: 5RAC6XGWEOZK · pith_short_16: 5RAC6XGWEOZKYM4E · pith_short_8: 5RAC6XGW

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/5RAC6XGWEOZKYM4EIHUQ2MLOD7 \
  | 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: ec402f5cd623b2ac338441e90d316e1fc84aab78f5214e993f9c30ad30ee3ec1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8726274f548b4671fd737502687226c06876133a2efc01f299f79e7cf53235ef",
    "cross_cats_sorted": [
      "math.NT",
      "physics.class-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.HO",
    "submitted_at": "2013-12-18T02:09:54Z",
    "title_canon_sha256": "23ccc23826d918caf16f1701483ca5808f2d64d2b28fc223de686c5ab19384a4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.5020",
    "kind": "arxiv",
    "version": 1
  }
}