Pith Number

pith:LEJOQWLZ

pith:2017:LEJOQWLZYV53KG3T25CSPQH36B

not attested not anchored not stored refs pending

Explicit tensors of border rank at least $2d-2$ in $K^d \otimes K^d \otimes K^d$ in arbitrary characteristic

Harm Derksen, Visu Makam

arxiv:1709.06131 v1 · 2017-09-18 · 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{LEJOQWLZYV53KG3T25CSPQH36B}

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	2026-05-18T00:34:54.339342Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5912e85979c57bb51b73d74527c0fbf07e8f0a0031ffa91b31792c68e932f290

Aliases

arxiv: 1709.06131 · arxiv_version: 1709.06131v1 · doi: 10.48550/arxiv.1709.06131 · pith_short_12: LEJOQWLZYV53 · pith_short_16: LEJOQWLZYV53KG3T · pith_short_8: LEJOQWLZ

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/LEJOQWLZYV53KG3T25CSPQH36B \
  | 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: 5912e85979c57bb51b73d74527c0fbf07e8f0a0031ffa91b31792c68e932f290

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "82a1e9f448062b820ceca0399e9081839da3e48d5508a5e86743793081b5df1c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2017-09-18T19:18:08Z",
    "title_canon_sha256": "ad14f9dc9ee1a200f9368b7a7f45fa7474d88183b990b7c35f348b816ca47fd0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1709.06131",
    "kind": "arxiv",
    "version": 1
  }
}