Pith Number

pith:QBZJKUAR

pith:2011:QBZJKUARPXQXKMOMXV6MLZB4AE

not attested not anchored not stored refs pending

On the minimum distance of AG codes, on Weierstrass semigroups and the smoothability of certain monomial curves in 4-Space

Alessio del Padrone, Anna Oneto, Grazia Tamone

arxiv:1104.5419 v1 · 2011-04-28 · math.AG · math.AC

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QBZJKUARPXQXKMOMXV6MLZB4AE}

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	2026-05-18T04:23:21.508133Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

80729550117de17531ccbd7cc5e43c011d29d7474d88b2ad1ed5078dda249adc

Aliases

arxiv: 1104.5419 · arxiv_version: 1104.5419v1 · doi: 10.48550/arxiv.1104.5419 · pith_short_12: QBZJKUARPXQX · pith_short_16: QBZJKUARPXQXKMOM · pith_short_8: QBZJKUAR

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/QBZJKUARPXQXKMOMXV6MLZB4AE \
  | 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: 80729550117de17531ccbd7cc5e43c011d29d7474d88b2ad1ed5078dda249adc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "68f00229df2e5d21c7c1e9539a287ca2b68c394cb041bdf91b6a76aaf04109cd",
    "cross_cats_sorted": [
      "math.AC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-04-28T15:14:39Z",
    "title_canon_sha256": "d909de87e8fba94bf4e9091c132e87d089f921f3d038024c8f7205b37332c3ba"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.5419",
    "kind": "arxiv",
    "version": 1
  }
}