Pith Number

pith:P5T7JULL

pith:2014:P5T7JULLM7TN2OAIEHFWE56BIA

not attested not anchored not stored refs pending

Schatten-class Truncated Toeplitz Operators

Patrick Lopatto, Richard Rochberg

arxiv:1410.1906 v1 · 2014-10-07 · math.CV · 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{P5T7JULLM7TN2OAIEHFWE56BIA}

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	2026-05-18T02:40:53.540433Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7f67f4d16b67e6dd380821cb6277c14007f950d1de87bd5fb0d321d5e61c6b19

Aliases

arxiv: 1410.1906 · arxiv_version: 1410.1906v1 · doi: 10.48550/arxiv.1410.1906 · pith_short_12: P5T7JULLM7TN · pith_short_16: P5T7JULLM7TN2OAI · pith_short_8: P5T7JULL

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/P5T7JULLM7TN2OAIEHFWE56BIA \
  | 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: 7f67f4d16b67e6dd380821cb6277c14007f950d1de87bd5fb0d321d5e61c6b19

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8e9f73aba095cf2d9e027a66306cb64b12a7e35920b8cc860c125e9de5cfb963",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2014-10-07T20:49:35Z",
    "title_canon_sha256": "40c32bcfd5f9b3397861b400145ea9e8cd20691d5abcf718e7d0a433e5bc37b6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1410.1906",
    "kind": "arxiv",
    "version": 1
  }
}