Pith Number

pith:RFGM7MAT

pith:2012:RFGM7MATYWIFCEJ4UMPRK7MH7L

not attested not anchored not stored refs pending

Some new examples of recurrence and non-recurrence sets for products of rotations on the unit circle

Maria Roginskaya, Sophie Grivaux

arxiv:1202.3113 v1 · 2012-02-14 · 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{RFGM7MATYWIFCEJ4UMPRK7MH7L}

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	2026-05-18T04:02:24.087102Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

894ccfb013c59051113ca31f157d87fad8adaf182e5bd663041fb50b1f4ed7b6

Aliases

arxiv: 1202.3113 · arxiv_version: 1202.3113v1 · doi: 10.48550/arxiv.1202.3113 · pith_short_12: RFGM7MATYWIF · pith_short_16: RFGM7MATYWIFCEJ4 · pith_short_8: RFGM7MAT

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/RFGM7MATYWIFCEJ4UMPRK7MH7L \
  | 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: 894ccfb013c59051113ca31f157d87fad8adaf182e5bd663041fb50b1f4ed7b6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d5f315b8232c73a2df1de6dd045b0a6040a1c8692565227b4d3b65a8353eb802",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2012-02-14T18:41:55Z",
    "title_canon_sha256": "7b371dcc78dc0ff24fa2ca99a87593f0b2fd1533bbff6d840aa685c623c0f289"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.3113",
    "kind": "arxiv",
    "version": 1
  }
}