Pith Number

pith:PEJNTGF2

pith:2026:PEJNTGF2EJHSVS57QL6LNJREZA

not attested not anchored not stored refs pending

Polynomials of minimal border rank

Cosimo Flavi, Tim Seynnaeve, Weronika Obcowska

arxiv:2606.23814 v1 · 2026-06-22 · math.AG · 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{PEJNTGF2EJHSVS57QL6LNJREZA}

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.

Cited by

1 paper in Pith

Hankel and Multiplication Tensor Completions for Cactus Rank

Receipt and verification

First computed	2026-06-24T00:14:27.635231Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7912d998ba224f2acbbf82fcb6a624c82586ca4f4cdb9c89d538a8f85c94e8df

Aliases

arxiv: 2606.23814 · arxiv_version: 2606.23814v1 · doi: 10.48550/arxiv.2606.23814 · pith_short_12: PEJNTGF2EJHS · pith_short_16: PEJNTGF2EJHSVS57 · pith_short_8: PEJNTGF2

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/PEJNTGF2EJHSVS57QL6LNJREZA \
  | 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: 7912d998ba224f2acbbf82fcb6a624c82586ca4f4cdb9c89d538a8f85c94e8df

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3e63290a8e6c248df8e4f4fa3a1e90d46835a9dbfeee71ca02c65864a77be882",
    "cross_cats_sorted": [
      "math.AC"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2026-06-22T18:01:20Z",
    "title_canon_sha256": "f06d782d094e282cc4a720cf0102a70998a51505239f181da66fdeff62088259"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.23814",
    "kind": "arxiv",
    "version": 1
  }
}