Pith Number

pith:VUBC4IP7

pith:2020:VUBC4IP7EH5YSQFXXDXBCANZYG

not attested not anchored not stored refs pending

Minimality of tensors of fixed multilinear rank

Alexander Heaton, Khazhgali Kozhasov, Lorenzo Venturello

arxiv:2007.08909 v3 · 2020-07-17 · math.DG · 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{VUBC4IP7EH5YSQFXXDXBCANZYG}

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	2026-07-05T03:39:54.901583Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ad022e21ff21fb8940b7b8ee1101b9c1a94ae13c03f5a0c8eb6996ac0475a5be

Aliases

arxiv: 2007.08909 · arxiv_version: 2007.08909v3 · doi: 10.48550/arxiv.2007.08909 · pith_short_12: VUBC4IP7EH5Y · pith_short_16: VUBC4IP7EH5YSQFX · pith_short_8: VUBC4IP7

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/VUBC4IP7EH5YSQFXXDXBCANZYG \
  | 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: ad022e21ff21fb8940b7b8ee1101b9c1a94ae13c03f5a0c8eb6996ac0475a5be

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2b00fe461c59399c68df8857705e6bd989d50526be89ac2b667dd07269102770",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2020-07-17T11:29:26Z",
    "title_canon_sha256": "b3c013c03f8495ca2f0a6dd0107e3ac64db9f925605f6d4f442cc9c0f810ecae"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2007.08909",
    "kind": "arxiv",
    "version": 3
  }
}