Pith Number

pith:YIX6BDN7

pith:2019:YIX6BDN7FGTIROZVKZCYQ4FVVS

not attested not anchored not stored refs pending

Fibonacci lattices have minimal dispersion on the two-dimensional torus

Aicke Hinrichs, Simon Breneis

arxiv:1905.03856 v1 · 2019-05-07 · math.MG · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YIX6BDN7FGTIROZVKZCYQ4FVVS}

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	2026-05-17T23:46:35.407941Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c22fe08dbf29a688bb3556458870b5ac8038274ff5fa75cabfb101250fa58d51

Aliases

arxiv: 1905.03856 · arxiv_version: 1905.03856v1 · doi: 10.48550/arxiv.1905.03856 · pith_short_12: YIX6BDN7FGTI · pith_short_16: YIX6BDN7FGTIROZV · pith_short_8: YIX6BDN7

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/YIX6BDN7FGTIROZVKZCYQ4FVVS \
  | 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: c22fe08dbf29a688bb3556458870b5ac8038274ff5fa75cabfb101250fa58d51

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e6a6490ddf372e7b71b8a343fe1f830cb1f2cf8a833fb68429ff2f67cfa2b83a",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2019-05-07T10:00:25Z",
    "title_canon_sha256": "80b3e008ef49ab538b431beb4b811545387a12791862ff197698ca538a466376"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1905.03856",
    "kind": "arxiv",
    "version": 1
  }
}