Pith Number

pith:PW3XMFHE

pith:2025:PW3XMFHEV2FPR4CTRN4XU2KWEH

not attested not anchored not stored refs pending

Equivalent of Multivariate Polynomial Matrix

Jiancheng Guan, Jinwang Liu, Tao Wu, Ying Kang

arxiv:2509.02574 v1 · 2025-08-23 · math.RA · math.AC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PW3XMFHEV2FPR4CTRN4XU2KWEH}

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	2026-07-05T12:03:53.503837Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7db77614e4ae8af8f0538b797a695621ccca6e4801cd11d6ac087bb0c061b5fe

Aliases

arxiv: 2509.02574 · arxiv_version: 2509.02574v1 · doi: 10.48550/arxiv.2509.02574 · pith_short_12: PW3XMFHEV2FP · pith_short_16: PW3XMFHEV2FPR4CT · pith_short_8: PW3XMFHE

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/PW3XMFHEV2FPR4CTRN4XU2KWEH \
  | 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: 7db77614e4ae8af8f0538b797a695621ccca6e4801cd11d6ac087bb0c061b5fe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "92eb103becac8e0a343612decf9c8de0212c489172b75216d848ab9644e37052",
    "cross_cats_sorted": [
      "math.AC"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2025-08-23T23:29:17Z",
    "title_canon_sha256": "ef52cbf844d515b3c07b31811d65afcc23f75e0e3ee5c12a300a5120079edc01"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2509.02574",
    "kind": "arxiv",
    "version": 1
  }
}