Pith Number

pith:XTM2DQVJ

pith:2012:XTM2DQVJGIXDISNHED2Y33ETPM

not attested not anchored not stored refs pending

Typical rank of $m\times n\times (m-1)n$ tensors with $3\leq m\leq n$ over the real number field

Mitsuhiro Miyazaki, Toshio Sakata, Toshio Sumi

arxiv:1210.6713 v1 · 2012-10-25 · 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{XTM2DQVJGIXDISNHED2Y33ETPM}

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	2026-05-18T03:42:23.309900Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bcd9a1c2a9322e3449a720f58dec937b2c35998c617a39f16b35aab22c9ad905

Aliases

arxiv: 1210.6713 · arxiv_version: 1210.6713v1 · doi: 10.48550/arxiv.1210.6713 · pith_short_12: XTM2DQVJGIXD · pith_short_16: XTM2DQVJGIXDISNH · pith_short_8: XTM2DQVJ

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/XTM2DQVJGIXDISNHED2Y33ETPM \
  | 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: bcd9a1c2a9322e3449a720f58dec937b2c35998c617a39f16b35aab22c9ad905

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9b3a56170f4bbba88e8d4905cd9cbeb8b73bc279dd23536ab9a5022dbc108d00",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2012-10-25T01:15:37Z",
    "title_canon_sha256": "300cb43a86c611fdf34f14d7123853a499a14b64b3371d1ae41508c0724a5a1f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.6713",
    "kind": "arxiv",
    "version": 1
  }
}