Pith Number

pith:D2UUFGWS

pith:2018:D2UUFGWSZ32BQJZP3RFJIYWYTA

not attested not anchored not stored refs pending

Factoring Non-negative Operator Valued Trigonometric Polynomials in Two Variables

Michael A. Dritschel

arxiv:1811.06005 v4 · 2018-11-14 · 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{D2UUFGWSZ32BQJZP3RFJIYWYTA}

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	2026-07-05T08:53:35.971363Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1ea9429ad2cef418272fdc4a9462d89819b9ab8a2cda406f332ee4fa6e35b8bc

Aliases

arxiv: 1811.06005 · arxiv_version: 1811.06005v4 · doi: 10.48550/arxiv.1811.06005 · pith_short_12: D2UUFGWSZ32B · pith_short_16: D2UUFGWSZ32BQJZP · pith_short_8: D2UUFGWS

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/D2UUFGWSZ32BQJZP3RFJIYWYTA \
  | 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: 1ea9429ad2cef418272fdc4a9462d89819b9ab8a2cda406f332ee4fa6e35b8bc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b90ab505ab0121da0d5369c5d23b2605eddb897cf225432675c8c2b2559a83a6",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-sa/4.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2018-11-14T19:05:20Z",
    "title_canon_sha256": "4752726da46ced3b23c7bc36cc93416cbe6885f169174fbd977fbace787ec580"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1811.06005",
    "kind": "arxiv",
    "version": 4
  }
}