Pith Number

pith:G5JFPYFT

pith:2018:G5JFPYFTJDB4EIBLBKYJZ322JX

not attested not anchored not stored refs pending

Maximal and typical nonnegative ranks of nonnegative tensors

Mitsuhiro Miyazaki, Toshio Sakata, Toshio Sumi

arxiv:1801.04086 v1 · 2018-01-12 · 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{G5JFPYFTJDB4EIBLBKYJZ322JX}

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	2026-05-18T00:26:11.931802Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

375257e0b348c3c2202b0ab09cef5a4df22e6e81b97b2dc9f169b24a791d7060

Aliases

arxiv: 1801.04086 · arxiv_version: 1801.04086v1 · doi: 10.48550/arxiv.1801.04086 · pith_short_12: G5JFPYFTJDB4 · pith_short_16: G5JFPYFTJDB4EIBL · pith_short_8: G5JFPYFT

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/G5JFPYFTJDB4EIBLBKYJZ322JX \
  | 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: 375257e0b348c3c2202b0ab09cef5a4df22e6e81b97b2dc9f169b24a791d7060

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "603ea70cdc9e9c27a6207e4fc7f654783a672949e1cb614e3a55bbc0cbca9de2",
    "cross_cats_sorted": [
      "math.AC",
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2018-01-12T08:30:48Z",
    "title_canon_sha256": "59bfc49a8a62d9078d8d7fee3d517be318c6383d36aee44f0d81a17fd0c08341"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1801.04086",
    "kind": "arxiv",
    "version": 1
  }
}