Pith Number

pith:TAV5WA4S

pith:2005:TAV5WA4S433I54DJSJ7C4JO5VQ

not attested not anchored not stored refs pending

The Schur-Horn theorem for operators and frames with prescribed norms and frame operator

D.Stojanoff, J. Antezana, M.Ruiz, P. Massey

arxiv:math/0508646 v2 · 2005-08-31 · 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{TAV5WA4S433I54DJSJ7C4JO5VQ}

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	2026-07-04T14:40:21.123279Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

982bdb0392e6f68ef069927e2e25ddac330f93599d47db67cb50987476074088

Aliases

arxiv: math/0508646 · arxiv_version: math/0508646v2 · doi: 10.48550/arxiv.math/0508646 · pith_short_12: TAV5WA4S433I · pith_short_16: TAV5WA4S433I54DJ · pith_short_8: TAV5WA4S

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/TAV5WA4S433I54DJSJ7C4JO5VQ \
  | 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: 982bdb0392e6f68ef069927e2e25ddac330f93599d47db67cb50987476074088

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8ccc6a75f326cae4868345e5076112c080ccdf176edf3ed8765977aaff0e9f2a",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.FA",
    "submitted_at": "2005-08-31T17:12:32Z",
    "title_canon_sha256": "f30d8311f60ff5e5447a8ed25f52d7e6eb09693006c82bcd97f6928f66693ddb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0508646",
    "kind": "arxiv",
    "version": 2
  }
}