Pith Number

pith:DSSZKOGI

pith:2019:DSSZKOGIXXA34XBX3NNRL6BDQC

not attested not anchored not stored refs pending

Explicit remarks on the torsion subgroups of homology groups of Reeb spaces of explicit fold maps

Naoki Kitazawa

arxiv:1906.00943 v3 · 2019-06-03 · math.GT · math.KT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DSSZKOGIXXA34XBX3NNRL6BDQC}

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	2026-05-17T23:42:58.063596Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1ca59538c8bdc1be5c37db5b15f82380a0f0b9bbbe1cc1ddb3fc50c95bc6e8e9

Aliases

arxiv: 1906.00943 · arxiv_version: 1906.00943v3 · doi: 10.48550/arxiv.1906.00943 · pith_short_12: DSSZKOGIXXA3 · pith_short_16: DSSZKOGIXXA34XBX · pith_short_8: DSSZKOGI

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/DSSZKOGIXXA34XBX3NNRL6BDQC \
  | 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: 1ca59538c8bdc1be5c37db5b15f82380a0f0b9bbbe1cc1ddb3fc50c95bc6e8e9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c1a4c704fc4f1dd1a0cce5bd5a02db16b229e4ea615bad19f7cf7de7e2b5509d",
    "cross_cats_sorted": [
      "math.KT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2019-06-03T17:38:25Z",
    "title_canon_sha256": "f3145758b9fb70ac2124635cf285a0f00df88e2e69c28a77f445bc86bedd2a72"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1906.00943",
    "kind": "arxiv",
    "version": 3
  }
}