Pith Number

pith:4ZKTIAWR

pith:2010:4ZKTIAWR42OHVHWGBESNBJ7BUS

not attested not anchored not stored refs pending

Unitary equivalence to a truncated Toeplitz operator: analytic symbols

Daniel E. Poore, Stephan Ramon Garcia, William T. Ross

arxiv:1012.4820 v2 · 2010-12-21 · math.CV · 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{4ZKTIAWR42OHVHWGBESNBJ7BUS}

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	2026-05-18T04:29:44.331391Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e6553402d1e69c7a9ec60924d0a7e1a48df0e2b183a2e50ea03bf32155479041

Aliases

arxiv: 1012.4820 · arxiv_version: 1012.4820v2 · doi: 10.48550/arxiv.1012.4820 · pith_short_12: 4ZKTIAWR42OH · pith_short_16: 4ZKTIAWR42OHVHWG · pith_short_8: 4ZKTIAWR

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/4ZKTIAWR42OHVHWGBESNBJ7BUS \
  | 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: e6553402d1e69c7a9ec60924d0a7e1a48df0e2b183a2e50ea03bf32155479041

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4966c35fdcef706601443d926c17a4155de468586607434bfef37a3078dd2e21",
    "cross_cats_sorted": [
      "math.FA",
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2010-12-21T21:38:02Z",
    "title_canon_sha256": "7691f8a50501b495c7e29f374d635bd9590231cb9a8c4ad2c6423cc058b61df7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.4820",
    "kind": "arxiv",
    "version": 2
  }
}