Pith Number

pith:4EQ6XA2W

pith:2026:4EQ6XA2WTOO5TIUTIO7SH62B6T

not attested not anchored not stored refs pending

Tensor factorization and explicit spectral bounds for product-box concentration operators

Ahmadreza Azimifard

arxiv:2607.26361 v1 · 2026-07-29 · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4EQ6XA2WTOO5TIUTIO7SH62B6T}

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	2026-07-30T01:18:12.269823Z
Builder	pith-number-builder-2026-05-17-v1
Signature	unsigned_v0
Schema	pith-number/v1.0

Canonical hash

e121eb83569b9dd9a29343bf23fb41f4d184a09e4f7913d21dac2f4f628c1f7b

Aliases

arxiv: 2607.26361 · arxiv_version: 2607.26361v1 · doi: 10.48550/arxiv.2607.26361 · pith_short_12: 4EQ6XA2WTOO5 · pith_short_16: 4EQ6XA2WTOO5TIUT · pith_short_8: 4EQ6XA2W

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/4EQ6XA2WTOO5TIUTIO7SH62B6T \
  | 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: e121eb83569b9dd9a29343bf23fb41f4d184a09e4f7913d21dac2f4f628c1f7b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b5f591a39431d9dd481bf1bacdce436e154f36fe8abca13c4ebfe52334ce0ec0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2026-07-29T00:30:12Z",
    "title_canon_sha256": "cb38f5fb5beb9d667c366b1109ef5e943b9e1d60d40499be7b746397fc3409b7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.26361",
    "kind": "arxiv",
    "version": 1
  }
}