Pith Number

pith:BIHJFWDW

pith:2018:BIHJFWDWHVPF3RWGRKD62O222Z

not attested not anchored not stored refs pending

Generalizations of Reeb spaces of special generic maps and applications to a problem of lifts of smooth maps

Naoki Kitazawa

arxiv:1805.07783 v2 · 2018-05-20 · math.GT · 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{BIHJFWDWHVPF3RWGRKD62O222Z}

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	2026-05-18T00:14:53.196250Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0a0e92d8763d5e5dc6c68a87ed3b5ad64c589a85e7e437caf6b9db414c8f1df6

Aliases

arxiv: 1805.07783 · arxiv_version: 1805.07783v2 · doi: 10.48550/arxiv.1805.07783 · pith_short_12: BIHJFWDWHVPF · pith_short_16: BIHJFWDWHVPF3RWG · pith_short_8: BIHJFWDW

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/BIHJFWDWHVPF3RWGRKD62O222Z \
  | 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: 0a0e92d8763d5e5dc6c68a87ed3b5ad64c589a85e7e437caf6b9db414c8f1df6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e3013dfda0665b79f330c0f51bdebe9735893b969cf8f24965dd1c227cf84ff9",
    "cross_cats_sorted": [
      "math.GN"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2018-05-20T16:02:08Z",
    "title_canon_sha256": "4450c1cf7a18c00a4ae199144e60e8596384881a2045d2558440a291f3b54930"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1805.07783",
    "kind": "arxiv",
    "version": 2
  }
}