Pith Number

pith:O7KSLOQ7

pith:2015:O7KSLOQ7X62RSQQKYSFFXGI6M4

not attested not anchored not stored refs pending

On a tensor-analogue of the Schur product

K. Sumesh, V.S. Sunder

arxiv:1509.04884 v2 · 2015-09-16 · math.OA · 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{O7KSLOQ7X62RSQQKYSFFXGI6M4}

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	2026-05-18T01:30:14.876291Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

77d525ba1fbfb519420ac48a5b991e6704db53f028a98314f9967b8cc66812a9

Aliases

arxiv: 1509.04884 · arxiv_version: 1509.04884v2 · doi: 10.48550/arxiv.1509.04884 · pith_short_12: O7KSLOQ7X62R · pith_short_16: O7KSLOQ7X62RSQQK · pith_short_8: O7KSLOQ7

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/O7KSLOQ7X62RSQQKYSFFXGI6M4 \
  | 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: 77d525ba1fbfb519420ac48a5b991e6704db53f028a98314f9967b8cc66812a9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c3148e542e30b570067c4741974de9971e1ed4686da095f67b52832f21301fc5",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2015-09-16T11:01:22Z",
    "title_canon_sha256": "bdd6ed20c5cd83ff77ef36ccc80afaf88749ca8e9afb8635e0885ce8c1dd5574"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.04884",
    "kind": "arxiv",
    "version": 2
  }
}