Pith Number

pith:ETFRO4RG

pith:2013:ETFRO4RGCMOSTKK2N5WUQJGGCR

not attested not anchored not stored refs pending

Asymptotic Improvement of the Gilbert-Varshamov Bound on the Size of Permutation Codes

Alexander Vardy, Jacques Verstraete, Michael Tait

arxiv:1311.4925 v1 · 2013-11-20 · math.CO · 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{ETFRO4RGCMOSTKK2N5WUQJGGCR}

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	2026-05-18T03:06:42.399582Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

24cb177226131d29a95a6f6d4824c6144553f5bd8ddeb8e3b5d3c0268d0d105f

Aliases

arxiv: 1311.4925 · arxiv_version: 1311.4925v1 · doi: 10.48550/arxiv.1311.4925 · pith_short_12: ETFRO4RGCMOS · pith_short_16: ETFRO4RGCMOSTKK2 · pith_short_8: ETFRO4RG

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/ETFRO4RGCMOSTKK2N5WUQJGGCR \
  | 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: 24cb177226131d29a95a6f6d4824c6144553f5bd8ddeb8e3b5d3c0268d0d105f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7aac96caa9a8b9655be4230910c6ec916af325ad96141b3890427ff069c944a8",
    "cross_cats_sorted": [
      "cs.IT",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-11-20T00:33:16Z",
    "title_canon_sha256": "1961615c6a5b895282d4bf1c083cf9ae1c8425cea3a195b9c4e29603f7b32c70"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.4925",
    "kind": "arxiv",
    "version": 1
  }
}