Pith Number

pith:CWNWHUKY

pith:2018:CWNWHUKY7IOMTCW2NE34L6BKTV

not attested not anchored not stored refs pending

Continuous frames and the Kadison-Singer problem

Marcin Bownik

arxiv:1802.00118 v1 · 2018-02-01 · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CWNWHUKY7IOMTCW2NE34L6BKTV}

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	2026-05-18T00:24:36.749394Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

159b63d158fa1cc98ada6937c5f82a9d5b5862692194c64436107f6fb5413ab6

Aliases

arxiv: 1802.00118 · arxiv_version: 1802.00118v1 · doi: 10.48550/arxiv.1802.00118 · pith_short_12: CWNWHUKY7IOM · pith_short_16: CWNWHUKY7IOMTCW2 · pith_short_8: CWNWHUKY

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/CWNWHUKY7IOMTCW2NE34L6BKTV \
  | 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: 159b63d158fa1cc98ada6937c5f82a9d5b5862692194c64436107f6fb5413ab6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "45a4c3d0c2fbc8bc045f1c22120a5d9d71b70f3892c11834718c96aa1f5f48e3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2018-02-01T01:32:58Z",
    "title_canon_sha256": "91ebf0b5c1ab845a5dcc80207e794f0d9f276b7f120a86ca9c73a9b6d352fe37"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1802.00118",
    "kind": "arxiv",
    "version": 1
  }
}