Pith Number

pith:JE5IK6DX

pith:2016:JE5IK6DX5ATL5KC2TIBCNEBAFQ

not attested not anchored not stored refs pending

Foliations with all non-closed leaves on non-compact surfaces

Eugene Polulyakh, Sergiy Maksymenko

arxiv:1606.00045 v2 · 2016-05-31 · math.GT · math.CV · math.DG · math.DS · math.GN

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JE5IK6DX5ATL5KC2TIBCNEBAFQ}

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	2026-05-18T01:03:32.506009Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

493a857877e826bea85a9a022690202c37062aa4c4e7a916febf6f9fd833d875

Aliases

arxiv: 1606.00045 · arxiv_version: 1606.00045v2 · doi: 10.48550/arxiv.1606.00045 · pith_short_12: JE5IK6DX5ATL · pith_short_16: JE5IK6DX5ATL5KC2 · pith_short_8: JE5IK6DX

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/JE5IK6DX5ATL5KC2TIBCNEBAFQ \
  | 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: 493a857877e826bea85a9a022690202c37062aa4c4e7a916febf6f9fd833d875

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "569596dc0f67ae01e9c04f02b2d5af93486236c71f7583324f588d0a5544098b",
    "cross_cats_sorted": [
      "math.CV",
      "math.DG",
      "math.DS",
      "math.GN"
    ],
    "license": "http://creativecommons.org/licenses/by-sa/4.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2016-05-31T21:02:39Z",
    "title_canon_sha256": "5a38aa323d93240477a3f2c7c774bb923f484116a58cab32eca90a0e691c5b83"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.00045",
    "kind": "arxiv",
    "version": 2
  }
}