Pith Number

pith:6SKF3QFE

pith:2015:6SKF3QFEFYI2LJ35ELH6TY6KLJ

not attested not anchored not stored refs pending

Tensor splitting properties of n-inverse pairs of operators

Caixing Gu, Stepan Paul

arxiv:1511.07505 v1 · 2015-11-23 · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6SKF3QFEFYI2LJ35ELH6TY6KLJ}

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	2026-05-18T01:26:04.622159Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f4945dc0a42e11a5a77d22cfe9e3ca5a7d03d29eec6e6736947b16c7b1f961cd

Aliases

arxiv: 1511.07505 · arxiv_version: 1511.07505v1 · doi: 10.48550/arxiv.1511.07505 · pith_short_12: 6SKF3QFEFYI2 · pith_short_16: 6SKF3QFEFYI2LJ35 · pith_short_8: 6SKF3QFE

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/6SKF3QFEFYI2LJ35ELH6TY6KLJ \
  | 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: f4945dc0a42e11a5a77d22cfe9e3ca5a7d03d29eec6e6736947b16c7b1f961cd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "36bcda728d7fb78b8f0c7430681016e39c4469339869812e431181c04a626639",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2015-11-23T23:30:38Z",
    "title_canon_sha256": "ab1bfca29975a9b081bbcdade38866faac112fbe6645bfe4fd41f4b1c71c6dd4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.07505",
    "kind": "arxiv",
    "version": 1
  }
}