Pith Number

pith:JA4Y7OYU

pith:2024:JA4Y7OYU55L7SGEMF2VBK45AGI

not attested not anchored not stored refs pending

High-Rank Irreducible Cartesian Tensor Decomposition and Bases of Equivariant Spaces

Qinghua Cui, Shihao Shao, Yikang Li, Zhouchen Lin

arxiv:2412.18263 v7 · 2024-12-24 · cs.LG · math-ph · math.MP · physics.chem-ph · physics.comp-ph · 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{JA4Y7OYU55L7SGEMF2VBK45AGI}

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	2026-07-05T12:00:45.397252Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

48398fbb14ef57f9188c2eaa1573a0321ae2beb6235a8acec059ad777b982ee7

Aliases

arxiv: 2412.18263 · arxiv_version: 2412.18263v7 · doi: 10.48550/arxiv.2412.18263 · pith_short_12: JA4Y7OYU55L7 · pith_short_16: JA4Y7OYU55L7SGEM · pith_short_8: JA4Y7OYU

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/JA4Y7OYU55L7SGEMF2VBK45AGI \
  | 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: 48398fbb14ef57f9188c2eaa1573a0321ae2beb6235a8acec059ad777b982ee7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f2e69f706bf090698a0e32f5f6d84568000e16aaebd19c887a35601b947b97d8",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "physics.chem-ph",
      "physics.comp-ph",
      "quant-ph"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2024-12-24T08:25:38Z",
    "title_canon_sha256": "53c87f513f8eff18eee8361133d6439ef80cdae5dded88f6d1f2717988f48e02"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.18263",
    "kind": "arxiv",
    "version": 7
  }
}