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Pith Number

pith:D5EGU6EK

pith:2012:D5EGU6EKFWJPJ26QUQ6LALVOZG
not attested not anchored not stored refs pending

On the duals of geometric Goppa codes from norm-trace curves

Alberto Ravagnani, Edoardo Ballico

arxiv:1205.6184 v5 · 2012-05-28 · math.AG · cs.IT · math.IT

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{D5EGU6EKFWJPJ26QUQ6LALVOZG}

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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 2026-05-18T03:14:26.919055Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

1f486a788a2d92f4ebd0a43cb02eaec9b0bae4615b0d19f96f6bee17c9467231

Aliases

arxiv: 1205.6184 · arxiv_version: 1205.6184v5 · doi: 10.48550/arxiv.1205.6184 · pith_short_12: D5EGU6EKFWJP · pith_short_16: D5EGU6EKFWJPJ26Q · pith_short_8: D5EGU6EK
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/D5EGU6EKFWJPJ26QUQ6LALVOZG \
  | 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: 1f486a788a2d92f4ebd0a43cb02eaec9b0bae4615b0d19f96f6bee17c9467231
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "186bab0880b0b8e5546b4bc0b79158383d48531a6d7b487d02015c8cf7fa0fe4",
    "cross_cats_sorted": [
      "cs.IT",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-05-28T18:44:04Z",
    "title_canon_sha256": "e07fda0d3cdc63e5c4c27f3d2825de535adcad91ac38fe8966fd6ebb463f0630"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.6184",
    "kind": "arxiv",
    "version": 5
  }
}