Pith Number

pith:KX5WV7PH

pith:2019:KX5WV7PHT7AKRFXKSFMRFRWUOO

not attested not anchored not stored refs pending

Products of elements of cobordism-like modules induced from generic maps

Naoki Kitazawa

arxiv:1902.00943 v1 · 2019-02-03 · math.GN · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KX5WV7PHT7AKRFXKSFMRFRWUOO}

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	2026-05-17T23:54:51.767475Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

55fb6afde79fc0a896ea915912c6d473af0341a0224a1ee5cd9678d53fc51cb1

Aliases

arxiv: 1902.00943 · arxiv_version: 1902.00943v1 · doi: 10.48550/arxiv.1902.00943 · pith_short_12: KX5WV7PHT7AK · pith_short_16: KX5WV7PHT7AKRFXK · pith_short_8: KX5WV7PH

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/KX5WV7PHT7AKRFXKSFMRFRWUOO \
  | 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: 55fb6afde79fc0a896ea915912c6d473af0341a0224a1ee5cd9678d53fc51cb1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7aa3e2a7289c85d914a3673725dc626ef834822edb3f329947e50febbc871ab2",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GN",
    "submitted_at": "2019-02-03T18:08:29Z",
    "title_canon_sha256": "c867d946a0dbee6bae0513e547f91e4d047b1140028259b114ac2ff8e8c0eafd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1902.00943",
    "kind": "arxiv",
    "version": 1
  }
}