Pith Number

pith:UBQXWZLS

pith:2013:UBQXWZLSNDFCMUBCHJZRD6PR7Q

not attested not anchored not stored refs pending

Maps preserving the spectrum of certain products of operators

Ali Taghavi, Roja Hosseinzadeh

arxiv:1309.4032 v1 · 2013-09-16 · math.FA · 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{UBQXWZLSNDFCMUBCHJZRD6PR7Q}

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	2026-05-18T03:13:11.458977Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a0617b657268ca2650223a7311f9f1fc2e7638a5184c12e184b473721120553e

Aliases

arxiv: 1309.4032 · arxiv_version: 1309.4032v1 · doi: 10.48550/arxiv.1309.4032 · pith_short_12: UBQXWZLSNDFC · pith_short_16: UBQXWZLSNDFCMUBC · pith_short_8: UBQXWZLS

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/UBQXWZLSNDFCMUBCHJZRD6PR7Q \
  | 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: a0617b657268ca2650223a7311f9f1fc2e7638a5184c12e184b473721120553e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4973cb951691e88b7a035107eb873f640ea5ebb61fe4091969d894478d479db8",
    "cross_cats_sorted": [
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2013-09-16T16:49:08Z",
    "title_canon_sha256": "c529e6d3463ab0ae3329196b4804ca7710a1695b2cde501ef84c3bf610f15380"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.4032",
    "kind": "arxiv",
    "version": 1
  }
}