Pith Number

pith:NT5ZQJHF

pith:2011:NT5ZQJHFX7JRNNMSNNDKERELX5

not attested not anchored not stored refs pending

A Classification of Minimal Sets of Torus Homeomorphisms

Alejandro Passeggi, Ferry Kwakkel, Tobias Jaeger

arxiv:1109.3919 v4 · 2011-09-19 · 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{NT5ZQJHFX7JRNNMSNNDKERELX5}

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	2026-05-18T02:52:42.443853Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6cfb9824e5bfd316b5926b46a2448bbf4920c03d894dfaaf4f98ac2fb526f786

Aliases

arxiv: 1109.3919 · arxiv_version: 1109.3919v4 · doi: 10.48550/arxiv.1109.3919 · pith_short_12: NT5ZQJHFX7JR · pith_short_16: NT5ZQJHFX7JRNNMS · pith_short_8: NT5ZQJHF

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/NT5ZQJHFX7JRNNMSNNDKERELX5 \
  | 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: 6cfb9824e5bfd316b5926b46a2448bbf4920c03d894dfaaf4f98ac2fb526f786

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3ad7751708263bff1a800fa5577247b334b52531da1d423d710563b71039a437",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2011-09-19T01:03:53Z",
    "title_canon_sha256": "0861f2a8934d487af208d896651f9177a4ad476c529d1eb15c30bcd0b0c2e554"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.3919",
    "kind": "arxiv",
    "version": 4
  }
}