Pith Number

pith:NU2BFQJT

pith:2026:NU2BFQJTUCUZJSFGZTKSU7CM6B

not attested not anchored not stored refs pending

On off-diagonal operators in matrix-weighted spaces

Aapo Laukkarinen, David Cruz-Uribe, Kabe Moen

arxiv:2607.18175 v1 · 2026-07-20 · math.CA · 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{NU2BFQJTUCUZJSFGZTKSU7CM6B}

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	2026-07-21T02:22:26.096879Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6d3412c133a0a994c8a6ccd52a7c4cf07c232e4ea50a35b166acfbb969648db0

Aliases

arxiv: 2607.18175 · arxiv_version: 2607.18175v1 · doi: 10.48550/arxiv.2607.18175 · pith_short_12: NU2BFQJTUCUZ · pith_short_16: NU2BFQJTUCUZJSFG · pith_short_8: NU2BFQJT

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/NU2BFQJTUCUZJSFGZTKSU7CM6B \
  | 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: 6d3412c133a0a994c8a6ccd52a7c4cf07c232e4ea50a35b166acfbb969648db0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "336582388e90392ad4a891aae1d96b18b2199c81579b8f1c400674fd3528796a",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2026-07-20T17:13:37Z",
    "title_canon_sha256": "1a6a4b7eb092938f5a443a6d178214a1afc558210737eaff765a64d29bf65086"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.18175",
    "kind": "arxiv",
    "version": 1
  }
}