Pith Number

pith:5NA6RW3A

pith:2019:5NA6RW3AYCZRR5Q7P2K3CEDK2Z

not attested not anchored not stored refs pending

On CW-complexes over groups with periodic cohomology

John Nicholson

arxiv:1905.12018 v3 · 2019-05-28 · math.AT · math.GR · 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{5NA6RW3AYCZRR5Q7P2K3CEDK2Z}

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.

Cited by

1 paper in Pith

Connected sum decompositions of high-dimensional manifolds

Receipt and verification

First computed	2026-07-05T03:19:37.905973Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eb41e8db60c0b318f61f7e95b1106ad6637fdd201b97f21207cc951f72059449

Aliases

arxiv: 1905.12018 · arxiv_version: 1905.12018v3 · doi: 10.48550/arxiv.1905.12018 · pith_short_12: 5NA6RW3AYCZR · pith_short_16: 5NA6RW3AYCZRR5Q7 · pith_short_8: 5NA6RW3A

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/5NA6RW3AYCZRR5Q7P2K3CEDK2Z \
  | 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: eb41e8db60c0b318f61f7e95b1106ad6637fdd201b97f21207cc951f72059449

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3b0fbf1141a6102070b9ba72747540fc2cdbbc1494bfedfaeb43cbbefca7effd",
    "cross_cats_sorted": [
      "math.GR",
      "math.KT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2019-05-28T18:25:27Z",
    "title_canon_sha256": "3645ba38088783eb1dcc0deb73cf1e8a4b0d9b8ad11408d45a38e3a7c8a221fa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1905.12018",
    "kind": "arxiv",
    "version": 3
  }
}