Pith Number

pith:JAG63QQC

pith:2017:JAG63QQCRPFBZ7AKN2IC5U5ZXV

not attested not anchored not stored refs pending

Nearly optimal codebooks based on generalized Jacobi sums

Ziling Heng

arxiv:1705.08055 v2 · 2017-05-23 · 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{JAG63QQCRPFBZ7AKN2IC5U5ZXV}

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	2026-05-18T00:16:14.593525Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

480dedc2028bca1cfc0a6e902ed3b9bd6872c52a3bda9f3481734702c1b7b51a

Aliases

arxiv: 1705.08055 · arxiv_version: 1705.08055v2 · doi: 10.48550/arxiv.1705.08055 · pith_short_12: JAG63QQCRPFB · pith_short_16: JAG63QQCRPFBZ7AK · pith_short_8: JAG63QQC

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/JAG63QQCRPFBZ7AKN2IC5U5ZXV \
  | 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: 480dedc2028bca1cfc0a6e902ed3b9bd6872c52a3bda9f3481734702c1b7b51a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "901b86b3b4f6d3bfef5767b3c81e6f67a9629347e79e010cfa39c4c9880137aa",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2017-05-23T01:52:53Z",
    "title_canon_sha256": "ab3e267347c71c154d1c3841c3f4aa37a7bf23d68c1c1cdb09d006afba42f0ba"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1705.08055",
    "kind": "arxiv",
    "version": 2
  }
}