Pith Number

pith:G7YQBRTC

pith:2012:G7YQBRTCEJQYRXCH6LSL73ICEB

not attested not anchored not stored refs pending

On the minimum distance and the minimum weight of Goppa codes from a quotient of the Hermitian curve

Alberto Ravagnani, Edoardo Ballico

arxiv:1212.0415 v2 · 2012-12-03 · math.AG · 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{G7YQBRTCEJQYRXCH6LSL73ICEB}

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	2026-05-18T03:14:19.925543Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

37f100c662226188dc47f2e4bfed02205a9c63067a062a82097c174197d1fafe

Aliases

arxiv: 1212.0415 · arxiv_version: 1212.0415v2 · doi: 10.48550/arxiv.1212.0415 · pith_short_12: G7YQBRTCEJQY · pith_short_16: G7YQBRTCEJQYRXCH · pith_short_8: G7YQBRTC

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/G7YQBRTCEJQYRXCH6LSL73ICEB \
  | 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: 37f100c662226188dc47f2e4bfed02205a9c63067a062a82097c174197d1fafe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "861255edd9fff7afe9c9f15d823c9c9c0288a899cc7db107b5a2689d0a3f0435",
    "cross_cats_sorted": [
      "cs.IT",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-12-03T15:26:09Z",
    "title_canon_sha256": "4c00ca6bdf6e5e2123c9950b5578989a2031bf78c140c7693c101a3f3a64cb33"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.0415",
    "kind": "arxiv",
    "version": 2
  }
}