Pith Number

pith:6QFODZWZ

pith:2018:6QFODZWZEJV73VUCDQ5CMBFMGY

not attested not anchored not stored refs pending

Border rank is not multiplicative under the tensor product

Asger Kj{\ae}rulff Jensen, Fulvio Gesmundo, Matthias Christandl

arxiv:1801.04852 v2 · 2018-01-15 · math.AG · quant-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6QFODZWZEJV73VUCDQ5CMBFMGY}

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	2026-05-17T23:47:16.124381Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f40ae1e6d9226bfdd6821c3a2604ac3639d1829d080713b02a0c6ef61521a7ca

Aliases

arxiv: 1801.04852 · arxiv_version: 1801.04852v2 · doi: 10.48550/arxiv.1801.04852 · pith_short_12: 6QFODZWZEJV7 · pith_short_16: 6QFODZWZEJV73VUC · pith_short_8: 6QFODZWZ

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/6QFODZWZEJV73VUCDQ5CMBFMGY \
  | 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: f40ae1e6d9226bfdd6821c3a2604ac3639d1829d080713b02a0c6ef61521a7ca

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "34acd0b6f12dc0ba9c0ca257d0b8dc0ca26b9ec7ee19a0d57756e270ddfb9349",
    "cross_cats_sorted": [
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2018-01-15T15:46:42Z",
    "title_canon_sha256": "c7902f3cc6ff38a2a8855fa66b3165c95a28adc7d78c68e7b5e65991dcd84c87"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1801.04852",
    "kind": "arxiv",
    "version": 2
  }
}