Pith Number

pith:3AZFSPXX

pith:2016:3AZFSPXXUIMRADUSKNBHBFLEI3

not attested not anchored not stored refs pending

Instability for the rotation set of diffeomorphisms of the torus homotopic to the identity

Pierre-Antoine Guih\'eneuf

arxiv:1603.00556 v1 · 2016-03-02 · 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{3AZFSPXXUIMRADUSKNBHBFLEI3}

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	2026-05-18T01:19:43.487056Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d832593ef7a219100e92534270956446e99e90c362fd1ac6f8508e7a4a66d605

Aliases

arxiv: 1603.00556 · arxiv_version: 1603.00556v1 · doi: 10.48550/arxiv.1603.00556 · pith_short_12: 3AZFSPXXUIMR · pith_short_16: 3AZFSPXXUIMRADUS · pith_short_8: 3AZFSPXX

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/3AZFSPXXUIMRADUSKNBHBFLEI3 \
  | 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: d832593ef7a219100e92534270956446e99e90c362fd1ac6f8508e7a4a66d605

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1ad6329292a207e4ae5caaa25d29df8c327ae016a9b0b0d05dd36dad4cb8f7a6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2016-03-02T02:46:57Z",
    "title_canon_sha256": "5f7c2f22340126f08f04175537bf9a97d7412f528deb23a62ebe2dc223f0626c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.00556",
    "kind": "arxiv",
    "version": 1
  }
}