Pith Number

pith:GZ3I73F5

pith:2013:GZ3I73F5NNW5RD2T33DCPM7564

not attested not anchored not stored refs pending

Rank of tensors with size 2 x ... x 2

Mitsuhiro Miyazaki, Toshio Sakata, Toshio Sumi

arxiv:1306.0708 v1 · 2013-06-04 · 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{GZ3I73F5NNW5RD2T33DCPM7564}

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	2026-05-18T03:21:54.286058Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

36768fecbd6b6dd88f53dec627b3fdf717827600476bdc40fda46b878c11b170

Aliases

arxiv: 1306.0708 · arxiv_version: 1306.0708v1 · doi: 10.48550/arxiv.1306.0708 · pith_short_12: GZ3I73F5NNW5 · pith_short_16: GZ3I73F5NNW5RD2T · pith_short_8: GZ3I73F5

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/GZ3I73F5NNW5RD2T33DCPM7564 \
  | 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: 36768fecbd6b6dd88f53dec627b3fdf717827600476bdc40fda46b878c11b170

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4225d3f75fc5d56b4d73ce49789a01e3e59692f6f98d59439f05c3edc5498115",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2013-06-04T09:14:52Z",
    "title_canon_sha256": "acc4ccfaa6923742df3543b0c11afc2fbe5919b51bfe4b4abf3ec569ebcb44e1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.0708",
    "kind": "arxiv",
    "version": 1
  }
}