Pith Number

pith:LSJ4YK2Q

pith:2013:LSJ4YK2Q6AELE4AXQSSJX7WPKY

not attested not anchored not stored refs pending

Logarithmic-scale Quasimodes that do not Equidistribute

Shimon Brooks

arxiv:1303.2484 v1 · 2013-03-11 · math.SP · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LSJ4YK2Q6AELE4AXQSSJX7WPKY}

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	2026-05-18T03:31:18.916676Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5c93cc2b50f008b2701784a49bfecf562d2622c041fd836a94c5d72715d60abe

Aliases

arxiv: 1303.2484 · arxiv_version: 1303.2484v1 · doi: 10.48550/arxiv.1303.2484 · pith_short_12: LSJ4YK2Q6AEL · pith_short_16: LSJ4YK2Q6AELE4AX · pith_short_8: LSJ4YK2Q

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/LSJ4YK2Q6AELE4AXQSSJX7WPKY \
  | 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: 5c93cc2b50f008b2701784a49bfecf562d2622c041fd836a94c5d72715d60abe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c391a1f14a62971e77b92989055b801c55c834d67c74d22f6bc85f94007e1154",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2013-03-11T11:08:41Z",
    "title_canon_sha256": "9e2ecb97f48a2fc9df269e90488f0edea339fd46d562bed1757d1878cfa40ebe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.2484",
    "kind": "arxiv",
    "version": 1
  }
}