pith. sign in
Pith Number

pith:432JIIOZ

pith:2016:432JIIOZ4A5FZ34YBOZRYUT7AQ
not attested not anchored not stored refs pending

Algebraic Geometric codes from Kummer Extensions

Daniele Bartoli, Giovanni Zini, Luciane Quoos

arxiv:1606.04143 v2 · 2016-06-13 · math.AG · cs.IT · math.IT

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{432JIIOZ4A5FZ34YBOZRYUT7AQ}

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 2026-05-18T00:59:41.902554Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

e6f49421d9e03a5cef980bb31c527f0414b318ffb64b01d28dbd4826d4a4cb64

Aliases

arxiv: 1606.04143 · arxiv_version: 1606.04143v2 · doi: 10.48550/arxiv.1606.04143 · pith_short_12: 432JIIOZ4A5F · pith_short_16: 432JIIOZ4A5FZ34Y · pith_short_8: 432JIIOZ
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/432JIIOZ4A5FZ34YBOZRYUT7AQ \
  | 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: e6f49421d9e03a5cef980bb31c527f0414b318ffb64b01d28dbd4826d4a4cb64
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "cc4a2fc5f04a238daaea11b52c5e1a1a613c6acb12ddf748615d05b5b48c33e5",
    "cross_cats_sorted": [
      "cs.IT",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2016-06-13T21:17:32Z",
    "title_canon_sha256": "2a580deb75f7b0052b833a0ecce9a659992c85d00d47a788f28b159dd0ec9d80"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.04143",
    "kind": "arxiv",
    "version": 2
  }
}