Pith Number

pith:3RNNNCAW

pith:2014:3RNNNCAWNY56L44X4U5YOZW24Q

not attested not anchored not stored refs pending

A Sampling Theorem for Rotation Numbers of Linear Processes in ${\R}^{2}$

Paulo R. C. Ruffino

arxiv:1404.5661 v1 · 2014-04-22 · math.DS · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3RNNNCAWNY56L44X4U5YOZW24Q}

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	2026-05-18T02:53:28.225399Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dc5ad688166e3be5f397e53b8766dae400722678115cf395cedf80dc24659277

Aliases

arxiv: 1404.5661 · arxiv_version: 1404.5661v1 · doi: 10.48550/arxiv.1404.5661 · pith_short_12: 3RNNNCAWNY56 · pith_short_16: 3RNNNCAWNY56L44X · pith_short_8: 3RNNNCAW

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/3RNNNCAWNY56L44X4U5YOZW24Q \
  | 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: dc5ad688166e3be5f397e53b8766dae400722678115cf395cedf80dc24659277

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "54f6e2867ca74c331802ba0fe190339643a730bb0f7cd19c48d30295540c85a7",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2014-04-22T21:59:25Z",
    "title_canon_sha256": "8080716cb87c1201a53c44b34e7a8938ea29a0e37d80e6fcf523b518abb08913"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1404.5661",
    "kind": "arxiv",
    "version": 1
  }
}