Pith Number

pith:6JYV236Z

pith:2012:6JYV236ZRNDAWMPSOWHV3V46BQ

not attested not anchored not stored refs pending

Explicit tensors of border rank at least 2n-1

J.M. Landsberg

arxiv:1209.1664 v2 · 2012-09-07 · cs.CC · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6JYV236ZRNDAWMPSOWHV3V46BQ}

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	2026-05-18T03:16:38.623822Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f2715d6fd98b460b31f2758f5dd79e0c3509efa35dc632ff84d2c6b3b348583a

Aliases

arxiv: 1209.1664 · arxiv_version: 1209.1664v2 · doi: 10.48550/arxiv.1209.1664 · pith_short_12: 6JYV236ZRNDA · pith_short_16: 6JYV236ZRNDAWMPS · pith_short_8: 6JYV236Z

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/6JYV236ZRNDAWMPSOWHV3V46BQ \
  | 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: f2715d6fd98b460b31f2758f5dd79e0c3509efa35dc632ff84d2c6b3b348583a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ac39c58f4420a01102fab598096beba41162b8ddcb2739c9566e6b525db92915",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CC",
    "submitted_at": "2012-09-07T22:24:47Z",
    "title_canon_sha256": "b83c9f45c7f571a5b9eb8a50b4bcb00331e9451542bfca2bf2850cf906660933"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.1664",
    "kind": "arxiv",
    "version": 2
  }
}