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Pith Number

pith:PMOUZWX5

pith:2016:PMOUZWX537C47DTK2RL6DEXO5P
not attested not anchored not stored refs pending

Bounds on Separating Redundancy of Linear Codes and Rates of X-Codes

Hana Ando, Peter Vandendriessche, Yuichiro Fujiwara, Yu Tsunoda

arxiv:1609.03547 v2 · 2016-09-12 · cs.IT · math.IT

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{PMOUZWX537C47DTK2RL6DEXO5P}

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 2026-05-17T23:51:06.405064Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

7b1d4cdafddfc5cf8e6ad457e192eeebdf9769450236b1a04dc8a2904226e7a0

Aliases

arxiv: 1609.03547 · arxiv_version: 1609.03547v2 · doi: 10.48550/arxiv.1609.03547 · pith_short_12: PMOUZWX537C4 · pith_short_16: PMOUZWX537C47DTK · pith_short_8: PMOUZWX5
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/PMOUZWX537C47DTK2RL6DEXO5P \
  | 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: 7b1d4cdafddfc5cf8e6ad457e192eeebdf9769450236b1a04dc8a2904226e7a0
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "7a27ad26c44933d9ee57aa6933758b5b7c030d1d859d3d88e3b3ea1a9833c88f",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2016-09-12T19:39:34Z",
    "title_canon_sha256": "0110cd039b2ecf66a7eb59dcb709eadb7e3edaa839cd0ee2215dd3c27173a9b3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.03547",
    "kind": "arxiv",
    "version": 2
  }
}