Pith Number

pith:F7DO7R7J

pith:2016:F7DO7R7JD7L5WLMFJQUKYZ4ICL

not attested not anchored not stored refs pending

Cyclic LRC Codes, binary LRC codes, and upper bounds on the distance of cyclic codes

Alexander Barg, Itzhak Tamo, Robert Calderbank, Sreechakra Goparaju

arxiv:1603.08878 v1 · 2016-03-29 · 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{F7DO7R7JD7L5WLMFJQUKYZ4ICL}

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	2026-05-18T00:51:03.286351Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2fc6efc7e91fd7db2d854c28ac678812d86d87211644d0167b41616e791c15d0

Aliases

arxiv: 1603.08878 · arxiv_version: 1603.08878v1 · doi: 10.48550/arxiv.1603.08878 · pith_short_12: F7DO7R7JD7L5 · pith_short_16: F7DO7R7JD7L5WLMF · pith_short_8: F7DO7R7J

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/F7DO7R7JD7L5WLMFJQUKYZ4ICL \
  | 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: 2fc6efc7e91fd7db2d854c28ac678812d86d87211644d0167b41616e791c15d0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "06283b6e4f682f0413e996a474567fc0492f38217f0c36224db5017bf55f40f9",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2016-03-29T18:41:24Z",
    "title_canon_sha256": "4903f9252803a13efc2dc381fa1d3a8ed5d5327efe2ab446dd2521e2fc06e6b5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.08878",
    "kind": "arxiv",
    "version": 1
  }
}