Pith Number

pith:P75AXN5V

pith:2011:P75AXN5VHOOTBQ45SMZR422E2M

not attested not anchored not stored refs pending

The carpenter and Schur--Horn problems for masas in finite factors

Don Hadwin, Junsheng Fang, Ken Dykema, Roger Smith

arxiv:1110.6500 v1 · 2011-10-29 · 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{P75AXN5VHOOTBQ45SMZR422E2M}

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	2026-05-18T04:09:55.504008Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7ffa0bb7b53b9d30c39d93331e6b44d3128bcaba9b09da1cfb9948ee8e0be2f4

Aliases

arxiv: 1110.6500 · arxiv_version: 1110.6500v1 · doi: 10.48550/arxiv.1110.6500 · pith_short_12: P75AXN5VHOOT · pith_short_16: P75AXN5VHOOTBQ45 · pith_short_8: P75AXN5V

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/P75AXN5VHOOTBQ45SMZR422E2M \
  | 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: 7ffa0bb7b53b9d30c39d93331e6b44d3128bcaba9b09da1cfb9948ee8e0be2f4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "794bca9439258a3216cc19cc6f49c83a841c6deacda7dae5fe035df1abc06f7d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2011-10-29T05:34:25Z",
    "title_canon_sha256": "c0ae8d17b0c3f890b3d4e81e43ea20b017f026cddd1d6699a89e5c8a54bcc1a8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.6500",
    "kind": "arxiv",
    "version": 1
  }
}