Pith Number

pith:CETGC4DM

pith:2021:CETGC4DMQDPHTDNCZCPY6MRJ4W

not attested not anchored not stored refs pending

Symmetry Breaking in Symmetric Tensor Decomposition

Francis Williams, Joan Bruna, Joe Kileel, Matthew Trager, Michael Field, Yossi Arjevani

arxiv:2103.06234 v2 · 2021-03-10 · math.OC · cs.LG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CETGC4DMQDPHTDNCZCPY6MRJ4W}

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

Ubiquitous Symmetry at Critical Points Across Diverse Optimization Landscapes

Receipt and verification

First computed	2026-07-05T07:28:25.078683Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

112661706c80de798da2c89f8f3229e59b3f6924e15ff9609f4c3a0ca1a086f0

Aliases

arxiv: 2103.06234 · arxiv_version: 2103.06234v2 · doi: 10.48550/arxiv.2103.06234 · pith_short_12: CETGC4DMQDPH · pith_short_16: CETGC4DMQDPHTDNC · pith_short_8: CETGC4DM

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/CETGC4DMQDPHTDNCZCPY6MRJ4W \
  | 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: 112661706c80de798da2c89f8f3229e59b3f6924e15ff9609f4c3a0ca1a086f0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "283ff5a69fb54c49208da3a03907d15d347026ac4f345d6b4b9b70d3c852c864",
    "cross_cats_sorted": [
      "cs.LG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2021-03-10T18:11:22Z",
    "title_canon_sha256": "c4a1a007d7eb249fdbec3d0c755d1f2e8c7ae1d2bea351627b379c5f3198a68a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2103.06234",
    "kind": "arxiv",
    "version": 2
  }
}