Pith Number

pith:JBO6SUVF

pith:2013:JBO6SUVFX7XRSSJFLRPCUZS2R5

not attested not anchored not stored refs pending

On the Mathematics of Music: From Chords to Fourier Analysis

Deanna Needell, Nathan Lenssen

arxiv:1306.2859 v1 · 2013-06-11 · math.HO · cs.SD

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JBO6SUVFX7XRSSJFLRPCUZS2R5}

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	2026-05-18T03:21:09.208654Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

485de952a5bfef1949255c5e2a665a8f6bbe8e4557aa817b22d6139282bb5265

Aliases

arxiv: 1306.2859 · arxiv_version: 1306.2859v1 · doi: 10.48550/arxiv.1306.2859 · pith_short_12: JBO6SUVFX7XR · pith_short_16: JBO6SUVFX7XRSSJF · pith_short_8: JBO6SUVF

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/JBO6SUVFX7XRSSJFLRPCUZS2R5 \
  | 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: 485de952a5bfef1949255c5e2a665a8f6bbe8e4557aa817b22d6139282bb5265

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5a8c33248d98cffe906c213998b38e64f5f7101c054b67b8fcefe9d2666b0711",
    "cross_cats_sorted": [
      "cs.SD"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.HO",
    "submitted_at": "2013-06-11T17:08:35Z",
    "title_canon_sha256": "8c4eab6b93553ff7ee9ac1c1fda6720a57ea180ff75b9e88ebb914a00141c379"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.2859",
    "kind": "arxiv",
    "version": 1
  }
}