Pith Number

pith:AZUQ6KIW

pith:2007:AZUQ6KIWYYMW5CKBVEZWYHZTBH

not attested not anchored not stored refs pending

Permutation Decoding and the Stopping Redundancy Hierarchy of Cyclic and Extended Cyclic Codes

Johannes B. Huber, Olgica Milenkovic, Stefan Laendner, Thorsten Hehn

arxiv:0708.0905 v3 · 2007-08-07 · 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{AZUQ6KIWYYMW5CKBVEZWYHZTBH}

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	2026-05-18T00:59:12.046701Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

06690f2916c6196e8941a9336c1f3309f2b5147c4d1fbc457c5b1187418ec25f

Aliases

arxiv: 0708.0905 · arxiv_version: 0708.0905v3 · doi: 10.48550/arxiv.0708.0905 · pith_short_12: AZUQ6KIWYYMW · pith_short_16: AZUQ6KIWYYMW5CKB · pith_short_8: AZUQ6KIW

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/AZUQ6KIWYYMW5CKBVEZWYHZTBH \
  | 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: 06690f2916c6196e8941a9336c1f3309f2b5147c4d1fbc457c5b1187418ec25f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c9311b57411203e5517fc94b4d0f33533271bcdb6da57850ba13bf1a671bd990",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2007-08-07T09:55:31Z",
    "title_canon_sha256": "1ee153323d57175c64c84e691c15d4a71dbd852178c044d6f2e18e8e96c46ce5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0708.0905",
    "kind": "arxiv",
    "version": 3
  }
}