Pith Number

pith:Z3PHBGRC

pith:2020:Z3PHBGRCLZIV5IZ7FJCO6BLTMH

not attested not anchored not stored refs pending

Tensor Rank and Complexity

Giorgio Ottaviani, Philipp Reichenbach

arxiv:2004.01492 v2 · 2020-04-03 · math.AG · cs.CC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Z3PHBGRCLZIV5IZ7FJCO6BLTMH}

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

Learning words in groups: fusion algebras, tensor ranks and grokking

Receipt and verification

First computed	2026-07-05T04:44:27.055190Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cede709a225e515ea33f2a44ef057361ddfc057aec344313cf07bfcddbc172f8

Aliases

arxiv: 2004.01492 · arxiv_version: 2004.01492v2 · doi: 10.48550/arxiv.2004.01492 · pith_short_12: Z3PHBGRCLZIV · pith_short_16: Z3PHBGRCLZIV5IZ7 · pith_short_8: Z3PHBGRC

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/Z3PHBGRCLZIV5IZ7FJCO6BLTMH \
  | 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: cede709a225e515ea33f2a44ef057361ddfc057aec344313cf07bfcddbc172f8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "896a3e3a06a9f184362a6fbc6fdb6234d4b202f4e0900949b954e7634f075d2c",
    "cross_cats_sorted": [
      "cs.CC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2020-04-03T12:11:56Z",
    "title_canon_sha256": "275f87563386011c1e6ab8a74b31d1935d99d3f7126372e545675f26d912c21d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2004.01492",
    "kind": "arxiv",
    "version": 2
  }
}