Pith Number

pith:TU4O33SX

pith:2014:TU4O33SXLGNLWV7IETKNHXMMF2

not attested not anchored not stored refs pending

Relations of the Nuclear Norms of a Tensor and its Matrix Flattenings

Shenglong Hu

arxiv:1412.2443 v1 · 2014-12-08 · math.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TU4O33SXLGNLWV7IETKNHXMMF2}

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	2026-05-18T02:31:57.996724Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9d38edee57599abb57e824d4d3dd8c2eab3d76d4dc35ddf230aceedad0c999d0

Aliases

arxiv: 1412.2443 · arxiv_version: 1412.2443v1 · doi: 10.48550/arxiv.1412.2443 · pith_short_12: TU4O33SXLGNL · pith_short_16: TU4O33SXLGNLWV7I · pith_short_8: TU4O33SX

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/TU4O33SXLGNLWV7IETKNHXMMF2 \
  | 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: 9d38edee57599abb57e824d4d3dd8c2eab3d76d4dc35ddf230aceedad0c999d0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b301da4b6335537239730a5c4f39828851c47f96ab2c34c70291ca26dafff4bd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2014-12-08T04:16:02Z",
    "title_canon_sha256": "d6fda12aea499f288ce24fc4d42e45b0e85e589d1f2a0c1ab5e8d0d431fedbfd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.2443",
    "kind": "arxiv",
    "version": 1
  }
}