Pith Number

pith:4VFRKH5B

pith:2017:4VFRKH5B64SWXQBLLB445EPZUE

not attested not anchored not stored refs pending

Rotational deviations and invariant pseudo-foliations for periodic point free torus homeomorphisms

Alejandro Kocsard, Fernanda Pereira-Rodrigues

arxiv:1704.04788 v2 · 2017-04-16 · 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{4VFRKH5B64SWXQBLLB445EPZUE}

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	2026-05-18T00:21:35.102794Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e54b151fa1f7256bc02b5879ce91f9a10582bd48fe290704ad6e5a829e578cc3

Aliases

arxiv: 1704.04788 · arxiv_version: 1704.04788v2 · doi: 10.48550/arxiv.1704.04788 · pith_short_12: 4VFRKH5B64SW · pith_short_16: 4VFRKH5B64SWXQBL · pith_short_8: 4VFRKH5B

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/4VFRKH5B64SWXQBLLB445EPZUE \
  | 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: e54b151fa1f7256bc02b5879ce91f9a10582bd48fe290704ad6e5a829e578cc3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7c9af7f3b6c1ea3c9cbda7bbc6abcece44122486e7965923a21540b10fdc469c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2017-04-16T15:35:21Z",
    "title_canon_sha256": "02e2bcfc69510092c40a8b23fa4e88096a22734bb5ca7889feed3f13ab1c42de"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1704.04788",
    "kind": "arxiv",
    "version": 2
  }
}