Pith Number

pith:LT5XWSGK

pith:2019:LT5XWSGKCBGXIR3XRCBHSG53O5

not attested not anchored not stored refs pending

An exotic presentation of Q_28

Tomasz Popiel, Wajid Mannan

arxiv:1901.10786 v4 · 2019-01-30 · math.AT · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LT5XWSGKCBGXIR3XRCBHSG53O5}

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	2026-07-05T03:21:36.254399Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5cfb7b48ca104d7447778882791bbb7770bf2a8ac6394ecdfce0f3d50cf58c75

Aliases

arxiv: 1901.10786 · arxiv_version: 1901.10786v4 · doi: 10.48550/arxiv.1901.10786 · pith_short_12: LT5XWSGKCBGX · pith_short_16: LT5XWSGKCBGXIR3X · pith_short_8: LT5XWSGK

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/LT5XWSGKCBGXIR3XRCBHSG53O5 \
  | 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: 5cfb7b48ca104d7447778882791bbb7770bf2a8ac6394ecdfce0f3d50cf58c75

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1c9554a52e3dc2ac826a84fd0f40fc31df4dd4417e1063d51236c23a436ebf6b",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2019-01-30T12:35:02Z",
    "title_canon_sha256": "4cc1dc849104b6d4b399f7162c5d5c162f8fd8359b812de3cbe8b6e545d953c7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1901.10786",
    "kind": "arxiv",
    "version": 4
  }
}