Pith Number

pith:32MW3DAP

pith:2011:32MW3DAPEWVJJM3RPRDL5MX4LX

not attested not anchored not stored refs pending

The Exponent of a Polarizing Matrix Constructed from the Kronecker Product

Kyeongcheol Yang, Myung-Kyu Lee

arxiv:1108.3417 v1 · 2011-08-17 · cs.IT · math.IT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{32MW3DAPEWVJJM3RPRDL5MX4LX}

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	2026-05-18T04:15:17.951895Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

de996d8c0f25aa94b3717c46beb2fc5dfa246b926c046fc5c217652dcd5e3b24

Aliases

arxiv: 1108.3417 · arxiv_version: 1108.3417v1 · doi: 10.48550/arxiv.1108.3417 · pith_short_12: 32MW3DAPEWVJ · pith_short_16: 32MW3DAPEWVJJM3R · pith_short_8: 32MW3DAP

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/32MW3DAPEWVJJM3RPRDL5MX4LX \
  | 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: de996d8c0f25aa94b3717c46beb2fc5dfa246b926c046fc5c217652dcd5e3b24

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b7607afa2d1e05d5cc576a5bf56bf11e376aca53859b27b9f09c0f6065eacd34",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2011-08-17T08:15:05Z",
    "title_canon_sha256": "810bc06848112cd4994eda46a439e429310636ee0c200c6147a1cc4e42c4817b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.3417",
    "kind": "arxiv",
    "version": 1
  }
}