Pith Number

pith:WXIREZTL

pith:2018:WXIREZTL4RAG4LSPPG6LYAOT5H

not attested not anchored not stored refs pending

Inner vectors for Toeplitz operators

Javad Mashreghi, Raymond Cheng, William T. Ross

arxiv:1809.04194 v1 · 2018-09-11 · math.CV

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WXIREZTL4RAG4LSPPG6LYAOT5H}

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	2026-05-18T00:05:55.228608Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b5d112666be4406e2e4f79bcbc01d3e9f0292ffb3c471f3a8e13966dbaa37563

Aliases

arxiv: 1809.04194 · arxiv_version: 1809.04194v1 · doi: 10.48550/arxiv.1809.04194 · pith_short_12: WXIREZTL4RAG · pith_short_16: WXIREZTL4RAG4LSP · pith_short_8: WXIREZTL

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/WXIREZTL4RAG4LSPPG6LYAOT5H \
  | 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: b5d112666be4406e2e4f79bcbc01d3e9f0292ffb3c471f3a8e13966dbaa37563

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "555c8159f093808a4b97acc2d1d776da9bc1a9ece4408115565890c83ad0880f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2018-09-11T23:05:09Z",
    "title_canon_sha256": "d9d0902c67257d945d41713af27e0cf9e93ea792a2b950703f62c128b9d162bd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1809.04194",
    "kind": "arxiv",
    "version": 1
  }
}