Pith Number

pith:ZC3LLLDP

pith:2018:ZC3LLLDP6R4PCTESW6NFSGDJCF

not attested not anchored not stored refs pending

New covering codes of radius $R$, codimension $tR$ and $tR+\frac{R}{2}$, and saturating sets in projective spaces

Alexander A. Davydov, Fernanda Pambianco, Stefano Marcugini

arxiv:1808.09301 v2 · 2018-08-28 · math.CO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZC3LLLDP6R4PCTESW6NFSGDJCF}

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	2026-05-17T23:51:09.633483Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c8b6b5ac6ff478f14c92b79a591869117c957f7538c84c65cc0a83ec7b00a00e

Aliases

arxiv: 1808.09301 · arxiv_version: 1808.09301v2 · doi: 10.48550/arxiv.1808.09301 · pith_short_12: ZC3LLLDP6R4P · pith_short_16: ZC3LLLDP6R4PCTES · pith_short_8: ZC3LLLDP

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/ZC3LLLDP6R4PCTESW6NFSGDJCF \
  | 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: c8b6b5ac6ff478f14c92b79a591869117c957f7538c84c65cc0a83ec7b00a00e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8d8c69a48374dd5b3d5c47ed46d5e44411e39a29bef6fc84c6531ff722eb4e66",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-08-28T13:53:46Z",
    "title_canon_sha256": "8e5b72c99beca3cc7d04d3b4e10dc71c34f33026af21e0686cbd6fc13f38c04e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.09301",
    "kind": "arxiv",
    "version": 2
  }
}