Pith Number

pith:3MAETQ7K

pith:2009:3MAETQ7KF76O265IR4DDBGOUTT

not attested not anchored not stored refs pending

Knaster's problem for $(Z_2)^k$-symmetric subsets of the sphere $S^{2^k-1}$

R.N. Karasev

arxiv:0908.3097 v1 · 2009-08-21 · math.MG · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3MAETQ7KF76O265IR4DDBGOUTT}

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	2026-05-18T04:18:53.386255Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

db0049c3ea2ffced7ba88f063099d49cc8d8982ef4a33ea7dd65c0c9da4c2b51

Aliases

arxiv: 0908.3097 · arxiv_version: 0908.3097v1 · doi: 10.48550/arxiv.0908.3097 · pith_short_12: 3MAETQ7KF76O · pith_short_16: 3MAETQ7KF76O265I · pith_short_8: 3MAETQ7K

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/3MAETQ7KF76O265IR4DDBGOUTT \
  | 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: db0049c3ea2ffced7ba88f063099d49cc8d8982ef4a33ea7dd65c0c9da4c2b51

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "815748c917bfa4780a843e174558ebfd4f5b5575eb25cc138c3875c8326f2dc3",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2009-08-21T11:01:22Z",
    "title_canon_sha256": "5e2a4d6723c44d10a98feb29c93b1a07942c56b81d85d9373b732a1f23c814f1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0908.3097",
    "kind": "arxiv",
    "version": 1
  }
}