Pith Number

pith:O65FFM25

pith:2026:O65FFM25RPSWEMHOPTSUCJ75AB

not attested not anchored not stored refs pending

An Alternative Framework for Irreducibility and Primitivity of Nonnegative Tensors

Jianhong Xu

arxiv:2606.30482 v1 · 2026-06-29 · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{O65FFM25RPSWEMHOPTSUCJ75AB}

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	2026-06-30T02:18:17.168028Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

77ba52b35d8be56230ee7ce54127fd004f5972a0aa1adb9544cc4dc007ad3d99

Aliases

arxiv: 2606.30482 · arxiv_version: 2606.30482v1 · doi: 10.48550/arxiv.2606.30482 · pith_short_12: O65FFM25RPSW · pith_short_16: O65FFM25RPSWEMHO · pith_short_8: O65FFM25

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/O65FFM25RPSWEMHOPTSUCJ75AB \
  | 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: 77ba52b35d8be56230ee7ce54127fd004f5972a0aa1adb9544cc4dc007ad3d99

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "45c3569b75710bdff93d590aa7ecb71aee7e95b091b8baf069bec6e8984401c0",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2026-06-29T15:43:02Z",
    "title_canon_sha256": "43bd013e2b7df66689467033dc116791d29efd673466eae7726d1c53671b6129"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.30482",
    "kind": "arxiv",
    "version": 1
  }
}