Pith Number

pith:WFK3SKUW

pith:2014:WFK3SKUW7KDLVMWBD5VXHVID3Z

not attested not anchored not stored refs pending

Consequences of the Marcus/Spielman/Stivastava solution to the Kadison-Singer Problem

Peter G. Casazza

arxiv:1407.4768 v2 · 2014-07-17 · 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{WFK3SKUW7KDLVMWBD5VXHVID3Z}

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	2026-05-18T02:30:08.112085Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b155b92a96fa86bab2c11f6b73d503de67b24b98a0bf64bdd5e9d649ca4ca229

Aliases

arxiv: 1407.4768 · arxiv_version: 1407.4768v2 · doi: 10.48550/arxiv.1407.4768 · pith_short_12: WFK3SKUW7KDL · pith_short_16: WFK3SKUW7KDLVMWB · pith_short_8: WFK3SKUW

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/WFK3SKUW7KDLVMWBD5VXHVID3Z \
  | 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: b155b92a96fa86bab2c11f6b73d503de67b24b98a0bf64bdd5e9d649ca4ca229

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "16d478386e66873ee914f47659501b833bb5e4c38d907480928e0c8deab3c56d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2014-07-17T18:35:49Z",
    "title_canon_sha256": "094d3167a19feb7dcd5059e3b993d114d65b94ff3e3a5f1254c0711fdf3c09b7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1407.4768",
    "kind": "arxiv",
    "version": 2
  }
}