Pith Number

pith:QV2BOWWA

pith:2014:QV2BOWWADSRSL2I7CYYMXOXPUE

not attested not anchored not stored refs pending

Le probl\`eme de Kadison-Singer (The Kadison-Singer problem)

Alain Valette

arxiv:1409.5898 v1 · 2014-09-20 · 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{QV2BOWWADSRSL2I7CYYMXOXPUE}

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	2026-05-18T02:42:15.654927Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8574175ac01ca325e91f1630cbbaefa10cb166b5df8ce3502a8b0ed251625d32

Aliases

arxiv: 1409.5898 · arxiv_version: 1409.5898v1 · doi: 10.48550/arxiv.1409.5898 · pith_short_12: QV2BOWWADSRS · pith_short_16: QV2BOWWADSRSL2I7 · pith_short_8: QV2BOWWA

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/QV2BOWWADSRSL2I7CYYMXOXPUE \
  | 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: 8574175ac01ca325e91f1630cbbaefa10cb166b5df8ce3502a8b0ed251625d32

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a80fdd8bfa0c0198b915f92d7e4f06c166fd4a7b8f3c3f858c1fea39e0047f4e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2014-09-20T15:15:16Z",
    "title_canon_sha256": "bad18f3e69c543debf4fa7e12c8b54fa654ba9edb90595cf7b250e26efc0737b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.5898",
    "kind": "arxiv",
    "version": 1
  }
}