Pith Number

pith:C7ZNQ6ZQ

pith:2016:C7ZNQ6ZQV5ZNPA6QBUISOTOYBE

not attested not anchored not stored refs pending

Density Evolution for Deterministic Generalized Product Codes with Higher-Order Modulation

Alexandre Graell i Amat, Christian H\"ager, Fredrik Br\"annstr\"om, Henry D. Pfister

arxiv:1604.06553 v2 · 2016-04-22 · 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{C7ZNQ6ZQV5ZNPA6QBUISOTOYBE}

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	2026-05-18T01:12:11.740852Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

17f2d87b30af72d783d00d11274dd8092dd6fc0316c023546c4ed2dfc24a51ac

Aliases

arxiv: 1604.06553 · arxiv_version: 1604.06553v2 · doi: 10.48550/arxiv.1604.06553 · pith_short_12: C7ZNQ6ZQV5ZN · pith_short_16: C7ZNQ6ZQV5ZNPA6Q · pith_short_8: C7ZNQ6ZQ

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/C7ZNQ6ZQV5ZNPA6QBUISOTOYBE \
  | 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: 17f2d87b30af72d783d00d11274dd8092dd6fc0316c023546c4ed2dfc24a51ac

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6a179e902f8b5cde1892953ede9016ac38339b4bca80ee30dbb77a17bb4f8bbe",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2016-04-22T07:04:29Z",
    "title_canon_sha256": "eacade8dfc7d480dfc55792a83bee3c8c1723a9de6eb79f43fa2bc06fac95f52"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.06553",
    "kind": "arxiv",
    "version": 2
  }
}