Pith Number

pith:WAQ7FAX5

pith:2017:WAQ7FAX5PXU4BEJWDUZM5OC2GP

not attested not anchored not stored refs pending

Homeotopy groups of one-dimensional foliations on surfaces

Eugene Polulyakh, Sergiy Maksymenko, Yuliya Soroka

arxiv:1708.00216 v1 · 2017-08-01 · math.GT · math.CV · math.DG · 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{WAQ7FAX5PXU4BEJWDUZM5OC2GP}

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	2026-05-18T00:32:35.990530Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b021f282fd7de9c091361d32ceb85a33c137e78aea923b877d287ff441492385

Aliases

arxiv: 1708.00216 · arxiv_version: 1708.00216v1 · doi: 10.48550/arxiv.1708.00216 · pith_short_12: WAQ7FAX5PXU4 · pith_short_16: WAQ7FAX5PXU4BEJW · pith_short_8: WAQ7FAX5

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/WAQ7FAX5PXU4BEJWDUZM5OC2GP \
  | 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: b021f282fd7de9c091361d32ceb85a33c137e78aea923b877d287ff441492385

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c133d820af6e42ac08352e92f023870524ffef30c601654df94bda68476a1989",
    "cross_cats_sorted": [
      "math.CV",
      "math.DG",
      "math.GN"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2017-08-01T09:21:07Z",
    "title_canon_sha256": "9107f7358d14a00eb410c8fa3e093e01253841b23aaf65c177036f0f07107a42"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.00216",
    "kind": "arxiv",
    "version": 1
  }
}