Pith Number

pith:3QYPE7SZ

pith:2016:3QYPE7SZO237VFKT6BNYKKQ65P

not attested not anchored not stored refs pending

Finite dual of a cocommutative Hopf algebroid. Application to linear differential matrix equations and Picard-Vessiot theory

Jos\'e G\'omez-Torrecillas, Laiachi El Kaoutit

arxiv:1607.07633 v3 · 2016-07-26 · math.RA · math.AC · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3QYPE7SZO237VFKT6BNYKKQ65P}

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	2026-05-18T00:17:24.538215Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dc30f27e5976b7fa9553f05b852a1eebf5beee2d65cd3627784103600b4b0715

Aliases

arxiv: 1607.07633 · arxiv_version: 1607.07633v3 · doi: 10.48550/arxiv.1607.07633 · pith_short_12: 3QYPE7SZO237 · pith_short_16: 3QYPE7SZO237VFKT · pith_short_8: 3QYPE7SZ

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/3QYPE7SZO237VFKT6BNYKKQ65P \
  | 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: dc30f27e5976b7fa9553f05b852a1eebf5beee2d65cd3627784103600b4b0715

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fc701a9ee0fef8b428d03e70a991a5a085d922de55f184e5a101cbc995c9bd8b",
    "cross_cats_sorted": [
      "math.AC",
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2016-07-26T10:41:31Z",
    "title_canon_sha256": "2761e246360c85a245775884e2e7f0dcc540b5b80c18448deffaef921ae84b38"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.07633",
    "kind": "arxiv",
    "version": 3
  }
}