Pith Number

pith:GYMO5NNV

pith:2018:GYMO5NNVIUITGVNKWF6L7GUFMH

not attested not anchored not stored refs pending

A consequence of the growth of rotation sets for families of diffeomorphisms of the torus

Salvador Addas-Zanata

arxiv:1801.09820 v2 · 2018-01-30 · 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{GYMO5NNVIUITGVNKWF6L7GUFMH}

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	2026-05-18T00:05:56.410144Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3618eeb5b545113355aab17cbf9a8561e8602763a090d0920eb2ec7f2da166ab

Aliases

arxiv: 1801.09820 · arxiv_version: 1801.09820v2 · doi: 10.48550/arxiv.1801.09820 · pith_short_12: GYMO5NNVIUIT · pith_short_16: GYMO5NNVIUITGVNK · pith_short_8: GYMO5NNV

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/GYMO5NNVIUITGVNKWF6L7GUFMH \
  | 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: 3618eeb5b545113355aab17cbf9a8561e8602763a090d0920eb2ec7f2da166ab

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3b3167173eb03a346bf03bcda3a62dcbb22be2cc2338d54978265263cc786fa5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2018-01-30T01:43:27Z",
    "title_canon_sha256": "c2f1b36d3805b7bc4836f8ae15894995b62b9244e3135cf1e26118cc7c261c67"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1801.09820",
    "kind": "arxiv",
    "version": 2
  }
}