Pith Number

pith:ARIJOJEY

pith:2008:ARIJOJEYDJ7NHQURWJMHHAQKRS

not attested not anchored not stored refs pending

Rank of 3-tensors with 2 slices and Kronecker canonical forms

Mitsuhiro Miyazaki, Toshio Sakata, Toshio Sumi

arxiv:0808.1167 v3 · 2008-08-08 · 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{ARIJOJEYDJ7NHQURWJMHHAQKRS}

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	2026-05-18T04:14:45.226692Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

04509724981a7ed3c291b25873820a8cb23bd4d3f064e1a05c2c4ad23715fb49

Aliases

arxiv: 0808.1167 · arxiv_version: 0808.1167v3 · doi: 10.48550/arxiv.0808.1167 · pith_short_12: ARIJOJEYDJ7N · pith_short_16: ARIJOJEYDJ7NHQUR · pith_short_8: ARIJOJEY

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/ARIJOJEYDJ7NHQURWJMHHAQKRS \
  | 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: 04509724981a7ed3c291b25873820a8cb23bd4d3f064e1a05c2c4ad23715fb49

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d4d46bdba08428d7dd1ef6bc1beb26435d9e21b403aa08423b0166332c69a156",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2008-08-08T08:18:45Z",
    "title_canon_sha256": "0c0a17d66bcc1dc24fe624e05fab083a8a97f2a1cbcd5179bb08b4300f67e75f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0808.1167",
    "kind": "arxiv",
    "version": 3
  }
}