Pith Number

pith:2MKZMDVB

pith:2020:2MKZMDVBRMOBXREAXTR77BNB5J

not attested not anchored not stored refs pending

Norm-attaining tensors and nuclear operators

Abraham Rueda Zoca, Mingu Jung, \'Oscar Rold\'an, Sheldon Dantas

arxiv:2006.09871 v4 · 2020-06-17 · 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{2MKZMDVBRMOBXREAXTR77BNB5J}

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	2026-07-05T02:35:50.139573Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d315960ea18b1c1bc480bce3ff85a1ea66033931cf7e480f53b8cfbeeee355f5

Aliases

arxiv: 2006.09871 · arxiv_version: 2006.09871v4 · doi: 10.48550/arxiv.2006.09871 · pith_short_12: 2MKZMDVBRMOB · pith_short_16: 2MKZMDVBRMOBXREA · pith_short_8: 2MKZMDVB

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/2MKZMDVBRMOBXREAXTR77BNB5J \
  | 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: d315960ea18b1c1bc480bce3ff85a1ea66033931cf7e480f53b8cfbeeee355f5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "35f4088b6b05711560ed6e7ec79c0d3dc0ab89ae7eae75f476ca1bb0bb391cbd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2020-06-17T13:54:05Z",
    "title_canon_sha256": "f3d066a3525997336d9b7b72a3fb721d814b8e244b135af14ea94f0e0a12a579"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2006.09871",
    "kind": "arxiv",
    "version": 4
  }
}