Pith Number

pith:ADXIPGDG

pith:2015:ADXIPGDG4N6DBBY4TL3QVZZDBD

not attested not anchored not stored refs pending

Typical ranks for 3-tensors, nonsingular bilinear maps and determinantal ideals

Mitsuhiro Miyazaki, Toshio Sakata, Toshio Sumi

arxiv:1512.08452 v1 · 2015-12-28 · math.RA · math.AC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ADXIPGDG4N6DBBY4TL3QVZZDBD}

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	2026-05-18T01:23:42.292919Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

00ee879866e37c30871c9af70ae72308d1a677b552827601e2fa349b0f61c845

Aliases

arxiv: 1512.08452 · arxiv_version: 1512.08452v1 · doi: 10.48550/arxiv.1512.08452 · pith_short_12: ADXIPGDG4N6D · pith_short_16: ADXIPGDG4N6DBBY4 · pith_short_8: ADXIPGDG

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/ADXIPGDG4N6DBBY4TL3QVZZDBD \
  | 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: 00ee879866e37c30871c9af70ae72308d1a677b552827601e2fa349b0f61c845

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7db093a727eb5d234ec013189706f5b4557e499646fee3839cf913ff1021bd24",
    "cross_cats_sorted": [
      "math.AC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2015-12-28T16:44:31Z",
    "title_canon_sha256": "a4bc31bf988aa57c351d927574bee7b7179cc3c4b844acd367b8055dbc0cde70"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.08452",
    "kind": "arxiv",
    "version": 1
  }
}