Pith Number

pith:L3ZDYO53

pith:2017:L3ZDYO53YLCX4UDWGTGGMBHLRZ

not attested not anchored not stored refs pending

Indecomposable exposed positive bi-linear maps between two by two matrices

Seung-Hyeok Kye

arxiv:1709.06705 v1 · 2017-09-20 · 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{L3ZDYO53YLCX4UDWGTGGMBHLRZ}

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	2026-05-18T00:34:40.746424Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5ef23c3bbbc2c57e507634cc6604eb8e40fb4a46ad28fdfea07b98b35e583969

Aliases

arxiv: 1709.06705 · arxiv_version: 1709.06705v1 · doi: 10.48550/arxiv.1709.06705 · pith_short_12: L3ZDYO53YLCX · pith_short_16: L3ZDYO53YLCX4UDW · pith_short_8: L3ZDYO53

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/L3ZDYO53YLCX4UDWGTGGMBHLRZ \
  | 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: 5ef23c3bbbc2c57e507634cc6604eb8e40fb4a46ad28fdfea07b98b35e583969

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cc0a14e083b9104d262c96e55de4fb1098b5ad72eef55aa0015fb22dec3836bf",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2017-09-20T02:22:31Z",
    "title_canon_sha256": "aff00cd984f052a396b771e0a7363c652a95d9738c274f18cbc439d6ecf7695a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1709.06705",
    "kind": "arxiv",
    "version": 1
  }
}