Pith Number

pith:NAXOXNHV

pith:2019:NAXOXNHVX7GISAEQ43PJZIXDQS

not attested not anchored not stored refs pending

A Short Note on Self-Duality of Goppa Codes on Elliptic and Hyperelliptic Function Fields

Nupur Patanker, Sanjay Kumar Singh

arxiv:1903.07376 v1 · 2019-03-18 · 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{NAXOXNHVX7GISAEQ43PJZIXDQS}

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	2026-05-17T23:50:54.636851Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

682eebb4f5bfcc890090e6de9ca2e384a4d97537796672182b645e6ae36476db

Aliases

arxiv: 1903.07376 · arxiv_version: 1903.07376v1 · doi: 10.48550/arxiv.1903.07376 · pith_short_12: NAXOXNHVX7GI · pith_short_16: NAXOXNHVX7GISAEQ · pith_short_8: NAXOXNHV

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/NAXOXNHVX7GISAEQ43PJZIXDQS \
  | 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: 682eebb4f5bfcc890090e6de9ca2e384a4d97537796672182b645e6ae36476db

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bd6dd198b73bdac4a025987cc983d459988313852ffb673c3cd601013a35bcc0",
    "cross_cats_sorted": [
      "cs.IT",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2019-03-18T11:50:45Z",
    "title_canon_sha256": "67420b2f24e468e3170f6e8f9015c2b5b2dbfcbaf9b060ef909b4890b327f0e7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1903.07376",
    "kind": "arxiv",
    "version": 1
  }
}