Pith Number

pith:LEWONTVE

pith:2021:LEWONTVEZN3RG45FSJ7OS7MXIU

not attested not anchored not stored refs pending

T product Tensors Part II: Tail Bounds for Sums of Random T product Tensors

Shih Yu Chang, Yimin Wei

arxiv:2107.06224 v2 · 2021-07-13 · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LEWONTVEZN3RG45FSJ7OS7MXIU}

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

Operator Inequalities in $\Phi$-Product Tensor Algebras: Invariance and Transform Sensitivity

Receipt and verification

First computed	2026-07-05T03:39:15.890012Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

592ce6cea4cb771373a5927ee97d97452e98259ef20698c3a5163652407f219e

Aliases

arxiv: 2107.06224 · arxiv_version: 2107.06224v2 · doi: 10.48550/arxiv.2107.06224 · pith_short_12: LEWONTVEZN3R · pith_short_16: LEWONTVEZN3RG45F · pith_short_8: LEWONTVE

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/LEWONTVEZN3RG45FSJ7OS7MXIU \
  | 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: 592ce6cea4cb771373a5927ee97d97452e98259ef20698c3a5163652407f219e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b99f674b00955788d01b13b57ff0b95b10fb1817ed8a0c9a01c5ac6a18b83bc3",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2021-07-13T16:23:51Z",
    "title_canon_sha256": "801ec2b8d24d22842e9e2385056582e3baee6771b932882866c298832ca33b8d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2107.06224",
    "kind": "arxiv",
    "version": 2
  }
}