Pith Number

pith:NE6IPEXK

pith:2017:NE6IPEXKRCFAZURJW2BMWE3AJH

not attested not anchored not stored refs pending

The Solution of the Kadison-Singer Problem

Adam W. Marcus, Nikhil Srivastava

arxiv:1712.08874 v1 · 2017-12-24 · math.FA · math.CO · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NE6IPEXKRCFAZURJW2BMWE3AJH}

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	2026-05-18T00:27:14.945324Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

693c8792ea888a0cd229b682cb136049c4c072feb3d9688c5a11924ac60e05f2

Aliases

arxiv: 1712.08874 · arxiv_version: 1712.08874v1 · doi: 10.48550/arxiv.1712.08874 · pith_short_12: NE6IPEXKRCFA · pith_short_16: NE6IPEXKRCFAZURJ · pith_short_8: NE6IPEXK

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/NE6IPEXKRCFAZURJW2BMWE3AJH \
  | 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: 693c8792ea888a0cd229b682cb136049c4c072feb3d9688c5a11924ac60e05f2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8981eab0ed5346015cca20030afec781288e9edc44493cb12f101c436a9cccc5",
    "cross_cats_sorted": [
      "math.CO",
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2017-12-24T04:08:15Z",
    "title_canon_sha256": "f62ad9fef0e6c65ba1cb05e13ac4b427bf279ef8e35384b78c7a7525f9668010"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.08874",
    "kind": "arxiv",
    "version": 1
  }
}