Pith Number

pith:YFPUNFLI

pith:2025:YFPUNFLI3S6CDMCFMS6CUCPO67

not attested not anchored not stored refs pending

A Smooth Computational Transition in Tensor PCA

Zhangsong Li

arxiv:2509.09904 v1 · 2025-09-12 · math.ST · cs.DS · math.PR · stat.ML · stat.TH

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YFPUNFLI3S6CDMCFMS6CUCPO67}

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

3 papers in Pith

Low-degree estimation thresholds in planted hypergraphs and tensor PCA

Optimal Spectral Algorithms for Correlated Two-view Models in High Dimensions

Near Optimal Algorithms for Noisy $k$-XOR under Low-Degree Heuristic

Receipt and verification

First computed	2026-07-05T12:09:51.796245Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c15f469568dcbc21b04564bc2a09eef7f028dc536b0cb20796b20cc12cfe718b

Aliases

arxiv: 2509.09904 · arxiv_version: 2509.09904v1 · doi: 10.48550/arxiv.2509.09904 · pith_short_12: YFPUNFLI3S6C · pith_short_16: YFPUNFLI3S6CDMCF · pith_short_8: YFPUNFLI

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/YFPUNFLI3S6CDMCFMS6CUCPO67 \
  | 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: c15f469568dcbc21b04564bc2a09eef7f028dc536b0cb20796b20cc12cfe718b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d85d4004ef8af6d4722b70614735b011f6d5d56015c5e44d879f27d0fbebdb21",
    "cross_cats_sorted": [
      "cs.DS",
      "math.PR",
      "stat.ML",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2025-09-12T00:21:20Z",
    "title_canon_sha256": "3dfae2a38c4a7a2df1462a9d0c71b55c5e33dee0b4a276911c41e1e1ec7e28d8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2509.09904",
    "kind": "arxiv",
    "version": 1
  }
}