Pith Number

pith:DLACHUZE

pith:2011:DLACHUZE6JAZNIZAHG27X2SYC5

not attested not anchored not stored refs pending

Upper and Lower Bounds on the Minimum Distance of Expander Codes

Alexey Frolov, Victor Zyablov

arxiv:1105.6224 v1 · 2011-05-31 · 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{DLACHUZE6JAZNIZAHG27X2SYC5}

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	2026-05-18T04:20:59.903977Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1ac023d324f24196a32039b5fbea58175fef5056c6f450a6909d11afdca033c1

Aliases

arxiv: 1105.6224 · arxiv_version: 1105.6224v1 · doi: 10.48550/arxiv.1105.6224 · pith_short_12: DLACHUZE6JAZ · pith_short_16: DLACHUZE6JAZNIZA · pith_short_8: DLACHUZE

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/DLACHUZE6JAZNIZAHG27X2SYC5 \
  | 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: 1ac023d324f24196a32039b5fbea58175fef5056c6f450a6909d11afdca033c1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f38fb0ee35baae415eaf2fe7b13c44e0fba6de5678f2d3c0cfd2ca96d28bca50",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2011-05-31T09:41:02Z",
    "title_canon_sha256": "16a8d37c5553ad29eb55d0fc3e3973aaf18d87ec160633dbd9773b014293e6fc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.6224",
    "kind": "arxiv",
    "version": 1
  }
}