Pith Number

pith:N3M2I773

pith:2021:N3M2I773PI2YYLPPX5S6KB7TKY

not attested not anchored not stored refs pending

Uniformly distributed orbits in $\mathbb{T}^d$ and singular substitution dynamical systems

Rotem Yaari

arxiv:2108.13882 v2 · 2021-08-31 · 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{N3M2I773PI2YYLPPX5S6KB7TKY}

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

Exact renormalisation for patch frequencies in inflation systems

Receipt and verification

First computed	2026-07-05T09:05:58.686571Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6ed9a47ffb7a358c2defbf65e507f3561c14e2e783cb89cc7792e41b244bf4ec

Aliases

arxiv: 2108.13882 · arxiv_version: 2108.13882v2 · doi: 10.48550/arxiv.2108.13882 · pith_short_12: N3M2I773PI2Y · pith_short_16: N3M2I773PI2YYLPP · pith_short_8: N3M2I773

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/N3M2I773PI2YYLPPX5S6KB7TKY \
  | 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: 6ed9a47ffb7a358c2defbf65e507f3561c14e2e783cb89cc7792e41b244bf4ec

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4b8b8f81c5ac35b6dfda3e96d705c9cc755274a0896ae125f60f28c37b34d7e6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2021-08-31T14:37:46Z",
    "title_canon_sha256": "984a3bd21fc93a18a3d71a8f34046a8c9b01f8b0c5e3562560e05986e7028dc6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2108.13882",
    "kind": "arxiv",
    "version": 2
  }
}