Pith Number

pith:SUDMS5AL

pith:2012:SUDMS5ALW47F6AEQCYGDXL2HIV

not attested not anchored not stored refs pending

Area-preserving diffeomorphisms of the torus whose rotation sets have non-empty interior

Salvador Addas-Zanata

arxiv:1208.1473 v3 · 2012-08-07 · 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{SUDMS5ALW47F6AEQCYGDXL2HIV}

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	2026-05-18T02:53:54.188042Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9506c9740bb73e5f0090160c3baf474542e5edf1319aea7269b9869af14ae2b1

Aliases

arxiv: 1208.1473 · arxiv_version: 1208.1473v3 · doi: 10.48550/arxiv.1208.1473 · pith_short_12: SUDMS5ALW47F · pith_short_16: SUDMS5ALW47F6AEQ · pith_short_8: SUDMS5AL

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/SUDMS5ALW47F6AEQCYGDXL2HIV \
  | 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: 9506c9740bb73e5f0090160c3baf474542e5edf1319aea7269b9869af14ae2b1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3df74cc8ac2d16e3594cf1e25c5bd4f3fafdba85cd90c3a15a19093ae1e0ef30",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2012-08-07T17:35:13Z",
    "title_canon_sha256": "b3528a68ceec545dd986e47a63d89a615f0a501f3400cdb9c3dd1a732e7cb8fc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.1473",
    "kind": "arxiv",
    "version": 3
  }
}