Pith Number

pith:POERU6UU

pith:2015:POERU6UUZJSDUP6AYB44B2RLG4

not attested not anchored not stored refs pending

Foliations with non-compact leaves on surfaces

Eugene Polulyakh, Sergiy Maksymenko

arxiv:1512.07809 v1 · 2015-12-24 · math.GT · math.CV · 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{POERU6UUZJSDUP6AYB44B2RLG4}

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	2026-05-18T00:32:36.590312Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7b891a7a94ca643a3fc0c079c0ea2b372188a186a7ac6507926223842bd22d5a

Aliases

arxiv: 1512.07809 · arxiv_version: 1512.07809v1 · doi: 10.48550/arxiv.1512.07809 · pith_short_12: POERU6UUZJSD · pith_short_16: POERU6UUZJSDUP6A · pith_short_8: POERU6UU

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/POERU6UUZJSDUP6AYB44B2RLG4 \
  | 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: 7b891a7a94ca643a3fc0c079c0ea2b372188a186a7ac6507926223842bd22d5a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "115676e70bd26059c84c3cec5cd84f4d042a6ea11d535653402a2c02514beb3b",
    "cross_cats_sorted": [
      "math.CV",
      "math.GN"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2015-12-24T13:02:24Z",
    "title_canon_sha256": "e8d447fda8d505a7cbf13d9871399e5fc3739c92e533e2f494530def8dbb7c62"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.07809",
    "kind": "arxiv",
    "version": 1
  }
}