Pith Number

pith:UO5WYODU

pith:2012:UO5WYODUZVVJT6K232DFC4DSB4

not attested not anchored not stored refs pending

The Schur-Horn theorem in von Neumann algebras

Mohan Ravichandran

arxiv:1209.0909 v3 · 2012-09-05 · 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{UO5WYODUZVVJT6K232DFC4DSB4}

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	2026-05-18T02:34:52.853631Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a3bb6c3874cd6a99f95ade865170720f21f199cd38c7f02dd6a3c8b7ea9d55a5

Aliases

arxiv: 1209.0909 · arxiv_version: 1209.0909v3 · doi: 10.48550/arxiv.1209.0909 · pith_short_12: UO5WYODUZVVJ · pith_short_16: UO5WYODUZVVJT6K2 · pith_short_8: UO5WYODU

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/UO5WYODUZVVJT6K232DFC4DSB4 \
  | 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: a3bb6c3874cd6a99f95ade865170720f21f199cd38c7f02dd6a3c8b7ea9d55a5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "441a89bfb74378cdda8f653148ab49650582031abf7c0556c2af70884505df65",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2012-09-05T09:45:05Z",
    "title_canon_sha256": "e1f28db2b62aadd60cd320f3b4501725774cc0cae5ee69ea117f37c0cbf2b2d1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.0909",
    "kind": "arxiv",
    "version": 3
  }
}