Pith Number

pith:6XGWCJ3T

pith:2006:6XGWCJ3TPAHYH2CFDAOWNLLJLC

not attested not anchored not stored refs pending

A Schur-Horn type theorem for II$_1$ factors

M. Argerami, P. Massey

arxiv:math/0604120 v4 · 2006-04-05 · math.OA · 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{6XGWCJ3TPAHYH2CFDAOWNLLJLC}

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	2026-07-04T15:09:37.453912Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f5cd612773780f83e845181d66ad6958bced1bb9ccd009ee9d36c8b5260110e5

Aliases

arxiv: math/0604120 · arxiv_version: math/0604120v4 · doi: 10.48550/arxiv.math/0604120 · pith_short_12: 6XGWCJ3TPAHY · pith_short_16: 6XGWCJ3TPAHYH2CF · pith_short_8: 6XGWCJ3T

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/6XGWCJ3TPAHYH2CFDAOWNLLJLC \
  | 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: f5cd612773780f83e845181d66ad6958bced1bb9ccd009ee9d36c8b5260110e5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4f1699b45d6a43dd3ac5de224a826488b26f39ad43b1100fc5729ccb3f130ec5",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "",
    "primary_cat": "math.OA",
    "submitted_at": "2006-04-05T23:26:43Z",
    "title_canon_sha256": "2e2883ab59171be2c874e04870e7f29300d342610479d6da9d6f22e643958392"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0604120",
    "kind": "arxiv",
    "version": 4
  }
}