Pith Number

pith:HR4P22DW

pith:2021:HR4P22DWGCF3BBHMOA2CDSZWMI

not attested not anchored not stored refs pending

The Jacobi sums over Galois rings of arbitrary characters and their applications in constructing asymptotically optimal codebooks

Chen Meng, Deng-Ming Xu, Fang-Wei Fu, Gang Wang

arxiv:2105.14177 v1 · 2021-05-29 · 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{HR4P22DWGCF3BBHMOA2CDSZWMI}

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	2026-07-05T02:44:21.061849Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3c78fd6876308bb084ec703421cb36621272b7a0e0e590c30af0b94a2425be8d

Aliases

arxiv: 2105.14177 · arxiv_version: 2105.14177v1 · doi: 10.48550/arxiv.2105.14177 · pith_short_12: HR4P22DWGCF3 · pith_short_16: HR4P22DWGCF3BBHM · pith_short_8: HR4P22DW

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/HR4P22DWGCF3BBHMOA2CDSZWMI \
  | 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: 3c78fd6876308bb084ec703421cb36621272b7a0e0e590c30af0b94a2425be8d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "21d6faf93e6aa23c0eb7d10a4a902fff67818f13b4fcb35a2e7384b430399d44",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2021-05-29T02:09:18Z",
    "title_canon_sha256": "965a965c8f0bf3a0dd41e24ef696d66c78b1136b0bfd4f9cafb449084dc3785d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2105.14177",
    "kind": "arxiv",
    "version": 1
  }
}