Pith Number

pith:6HVMWNSC

pith:2026:6HVMWNSCMLDJSVKT3LTDOFVKYL

not attested not anchored not stored refs pending

A majorization relation for a sum of two tensor products of positive semidefinite operators

Cole Kelson-Packer, Mohammad A. Alhejji

arxiv:2607.07913 v1 · 2026-07-08 · math.RA · math-ph · math.CO · math.MP · quant-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6HVMWNSCMLDJSVKT3LTDOFVKYL}

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	2026-07-10T00:19:04.687809Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f1eacb364262c6995553dae63716aac2f0096de381a5f115bd3a7e66e7401f02

Aliases

arxiv: 2607.07913 · arxiv_version: 2607.07913v1 · doi: 10.48550/arxiv.2607.07913 · pith_short_12: 6HVMWNSCMLDJ · pith_short_16: 6HVMWNSCMLDJSVKT · pith_short_8: 6HVMWNSC

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/6HVMWNSCMLDJSVKT3LTDOFVKYL \
  | 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: f1eacb364262c6995553dae63716aac2f0096de381a5f115bd3a7e66e7401f02

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "746317ea393c7fcef24212090ef828bfe012192b2aef079714e958b7ae13662b",
    "cross_cats_sorted": [
      "math-ph",
      "math.CO",
      "math.MP",
      "quant-ph"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2026-07-08T20:54:05Z",
    "title_canon_sha256": "7dd568a5591da6fffb6fc73c97c604ed266fde790046ed724e2c5cfaec7b598d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.07913",
    "kind": "arxiv",
    "version": 1
  }
}