Pith Number

pith:BRPA6WK3

pith:2016:BRPA6WK3EOJKQQVNCJITRNQ2KL

not attested not anchored not stored refs pending

Voicing Transformations and a Linear Representation of Uniform Triadic Transformations

Thomas M. Fiore, Thomas Noll

arxiv:1603.09636 v1 · 2016-03-31 · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BRPA6WK3EOJKQQVNCJITRNQ2KL}

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	2026-05-18T01:17:58.027284Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0c5e0f595b2392a842ad125138b61a52cb4dad634abf27b0fb39dc18419e414d

Aliases

arxiv: 1603.09636 · arxiv_version: 1603.09636v1 · doi: 10.48550/arxiv.1603.09636 · pith_short_12: BRPA6WK3EOJK · pith_short_16: BRPA6WK3EOJKQQVN · pith_short_8: BRPA6WK3

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/BRPA6WK3EOJKQQVNCJITRNQ2KL \
  | 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: 0c5e0f595b2392a842ad125138b61a52cb4dad634abf27b0fb39dc18419e414d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bc3b6262319e7dcd31b026b47c24ca699937d4d179ac5e4d3985c1e2ddfd570b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2016-03-31T15:27:02Z",
    "title_canon_sha256": "9181f5b6941e450176b1bcd104284f3ed5bf9f4d0f57e23467d0e0cb8fd65fee"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.09636",
    "kind": "arxiv",
    "version": 1
  }
}