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Pith Number

pith:JSOXZW6H

pith:2013:JSOXZW6HYAEJVSLNWOR7A35NUG
not attested not anchored not stored refs pending

Properties of the Polarization Transformations for the Likelihood Ratios of Symmetric B-DMCs

Mine Alsan

arxiv:1303.3194 v1 · 2013-03-13 · cs.IT · math.IT

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{JSOXZW6HYAEJVSLNWOR7A35NUG}

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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 2026-05-18T03:30:56.389211Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

4c9d7cdbc7c0089ac96db3a3f06fada18ad0b9dad676bad48c7393d9ddb71bff

Aliases

arxiv: 1303.3194 · arxiv_version: 1303.3194v1 · doi: 10.48550/arxiv.1303.3194 · pith_short_12: JSOXZW6HYAEJ · pith_short_16: JSOXZW6HYAEJVSLN · pith_short_8: JSOXZW6H
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/JSOXZW6HYAEJVSLNWOR7A35NUG \
  | 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: 4c9d7cdbc7c0089ac96db3a3f06fada18ad0b9dad676bad48c7393d9ddb71bff
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "3bde1625af671341aa4e0f276efa57eeb01e807de3a98e08e747ff11c9843c18",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2013-03-13T15:44:20Z",
    "title_canon_sha256": "608f16bdcad2ae08b62880534a43e7a4a9665c37ded0ec1763359c612e1dcbd1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.3194",
    "kind": "arxiv",
    "version": 1
  }
}