Pith Number

pith:ABKPUQLH

pith:2015:ABKPUQLHQX7NQQAXUKVU2V3B57

not attested not anchored not stored refs pending

The solution to the Kadison--Singer Problem: yet another presentation

Dan Timotin

arxiv:1501.00464 v1 · 2015-01-02 · 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{ABKPUQLHQX7NQQAXUKVU2V3B57}

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	2026-05-18T02:30:09.073343Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0054fa416785fed84017a2ab4d5761efc390fc65c7b085efb2486fe70cd08f1e

Aliases

arxiv: 1501.00464 · arxiv_version: 1501.00464v1 · doi: 10.48550/arxiv.1501.00464 · pith_short_12: ABKPUQLHQX7N · pith_short_16: ABKPUQLHQX7NQQAX · pith_short_8: ABKPUQLH

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/ABKPUQLHQX7NQQAXUKVU2V3B57 \
  | 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: 0054fa416785fed84017a2ab4d5761efc390fc65c7b085efb2486fe70cd08f1e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8db12f54a926eb742965800ea0115dc18e373f751b86d8df8187ecc9c483fae2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2015-01-02T19:22:23Z",
    "title_canon_sha256": "5c8fb4afd68e9da15a87a698d5231ae07f969ccdf4cc8c9f70b68521c92766cf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.00464",
    "kind": "arxiv",
    "version": 1
  }
}