Pith Number

pith:QUYRMMGC

pith:2017:QUYRMMGCZVZU2CVLUVD3PHSH6M

not attested not anchored not stored refs pending

Self-Dual Codes better than the Gilbert--Varshamov bound

Alp Bassa, Henning Stichtenoth

arxiv:1709.07221 v1 · 2017-09-21 · cs.IT · math.CO · 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{QUYRMMGCZVZU2CVLUVD3PHSH6M}

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	2026-05-18T00:34:36.278051Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

85311630c2cd734d0aaba547b79e47f32478f7035eb92bdb1febe9b6c05f584e

Aliases

arxiv: 1709.07221 · arxiv_version: 1709.07221v1 · doi: 10.48550/arxiv.1709.07221 · pith_short_12: QUYRMMGCZVZU · pith_short_16: QUYRMMGCZVZU2CVL · pith_short_8: QUYRMMGC

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/QUYRMMGCZVZU2CVLUVD3PHSH6M \
  | 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: 85311630c2cd734d0aaba547b79e47f32478f7035eb92bdb1febe9b6c05f584e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e32eb394edb63e3f711809330b391398b95086c656280d8b48d519ce2b746a91",
    "cross_cats_sorted": [
      "math.CO",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2017-09-21T09:15:44Z",
    "title_canon_sha256": "fe074a58ed91e5025cc3d3e6a10ea2b265063e96d378e78f16aa1dc74a13db32"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1709.07221",
    "kind": "arxiv",
    "version": 1
  }
}