Pith Number

pith:6J7PXWPN

pith:2011:6J7PXWPNXUJZO3PIO6ATSK2POQ

not attested not anchored not stored refs pending

The Schur-Horn theorem for operators with finite spectrum

B. V. Rajarama Bhat, Mohan Ravichandran

arxiv:1111.3833 v1 · 2011-11-16 · 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{6J7PXWPNXUJZO3PIO6ATSK2POQ}

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	2026-05-18T04:08:12.988671Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f27efbd9edbd13976de87781392b4f741c03e24880c0a3b061407ef667042aa6

Aliases

arxiv: 1111.3833 · arxiv_version: 1111.3833v1 · doi: 10.48550/arxiv.1111.3833 · pith_short_12: 6J7PXWPNXUJZ · pith_short_16: 6J7PXWPNXUJZO3PI · pith_short_8: 6J7PXWPN

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/6J7PXWPNXUJZO3PIO6ATSK2POQ \
  | 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: f27efbd9edbd13976de87781392b4f741c03e24880c0a3b061407ef667042aa6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a329158115cd8d9a509a67c46b883f13e3403db41732aa85e05e8c8a29427ac3",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2011-11-16T15:25:19Z",
    "title_canon_sha256": "b9bbcd5e6b4b9dcfc3da194141f3bc262747cb68b786ae2ffbce70b691ed5b29"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.3833",
    "kind": "arxiv",
    "version": 1
  }
}