Pith Number

pith:VICKOBXA

pith:2025:VICKOBXA7UQZPLPB65J3RFOMQT

not attested not anchored not stored refs pending

Configurations, Tessellations and Tone Networks

Jeffrey R. Boland, Lane P. Hughston

arxiv:2505.08752 v7 · 2025-05-13 · math.CO · eess.AS · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VICKOBXA7UQZPLPB65J3RFOMQT}

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

Tonnetz Theory, Classical Harmony, and the Combinatorial Geometry of Abstract Musical Resources

Receipt and verification

First computed	2026-05-20T01:06:04.447562Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aa04a706e0fd2197ade1f753b895cc84e197e9ab8bfcf061633282720df655cd

Aliases

arxiv: 2505.08752 · arxiv_version: 2505.08752v7 · doi: 10.48550/arxiv.2505.08752 · pith_short_12: VICKOBXA7UQZ · pith_short_16: VICKOBXA7UQZPLPB · pith_short_8: VICKOBXA

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/VICKOBXA7UQZPLPB65J3RFOMQT \
  | 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: aa04a706e0fd2197ade1f753b895cc84e197e9ab8bfcf061633282720df655cd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "247fa256c6d8757b8d4763e98502b189527b69b5fa33f16aa22bc8917cc725f3",
    "cross_cats_sorted": [
      "eess.AS",
      "math.AG"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2025-05-13T17:13:14Z",
    "title_canon_sha256": "a94ef8e39cef02cb7a2c77b0dfd7890a308f557ad9585b60bab4aa80245720e2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2505.08752",
    "kind": "arxiv",
    "version": 7
  }
}