Pith Number

pith:UGTC6KDK

pith:2019:UGTC6KDKUZM6SFG5KCQVE6NMCP

not attested not anchored not stored refs pending

New constructions of asymptotically optimal codebooks via character sums over a local ring

Liqin Qian, Wei Lu, Xia Wu, Xiwang Cao

arxiv:1906.05523 v1 · 2019-06-13 · 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{UGTC6KDKUZM6SFG5KCQVE6NMCP}

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	2026-05-17T23:43:25.164072Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a1a62f286aa659e914dd50a15279ac13d36c8f8595d18202616846274466def3

Aliases

arxiv: 1906.05523 · arxiv_version: 1906.05523v1 · doi: 10.48550/arxiv.1906.05523 · pith_short_12: UGTC6KDKUZM6 · pith_short_16: UGTC6KDKUZM6SFG5 · pith_short_8: UGTC6KDK

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/UGTC6KDKUZM6SFG5KCQVE6NMCP \
  | 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: a1a62f286aa659e914dd50a15279ac13d36c8f8595d18202616846274466def3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b8fc18bba333618272d92056fb03a35c68a54930e57390a7b9a2f3b94b0347d5",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2019-06-13T07:46:15Z",
    "title_canon_sha256": "2e8c10d64f4800180680ea4d3923d828dd70593a033e19256858497bbf86b108"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1906.05523",
    "kind": "arxiv",
    "version": 1
  }
}