Pith Number

pith:5KX6IJCE

pith:2016:5KX6IJCETX5BBIDGQKCMWQ747N

not attested not anchored not stored refs pending

Constructions of exotic actions on product manifolds with an asymmetric factor

Marek Kaluba, Zbigniew B{\l}aszczyk

arxiv:1603.04888 v3 · 2016-03-15 · 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{5KX6IJCETX5BBIDGQKCMWQ747N}

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	2026-05-17T23:49:22.873141Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eaafe424449dfa10a0668284cb43fcfb42ac69c253e1849347e77b08f4f0dd36

Aliases

arxiv: 1603.04888 · arxiv_version: 1603.04888v3 · doi: 10.48550/arxiv.1603.04888 · pith_short_12: 5KX6IJCETX5B · pith_short_16: 5KX6IJCETX5BBIDG · pith_short_8: 5KX6IJCE

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/5KX6IJCETX5BBIDGQKCMWQ747N \
  | 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: eaafe424449dfa10a0668284cb43fcfb42ac69c253e1849347e77b08f4f0dd36

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3d459971e00539cc7ccb15c685b772c57cef37f1c05f74503d00e3f198c4b120",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2016-03-15T21:09:56Z",
    "title_canon_sha256": "5dfe6c17b340901e7b493a4f72ce6fa8bcf7bf694f6f3b3dc23408e1e0e1b394"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.04888",
    "kind": "arxiv",
    "version": 3
  }
}