Pith Number

pith:CAITM4G5

pith:2013:CAITM4G5OLN2ZCUVDFTKOOEAL4

not attested not anchored not stored refs pending

On the gonality sequence of smooth curves: normalizations of singular curves in a quadric surface

Edoardo Ballico

arxiv:1303.0097 v1 · 2013-03-01 · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CAITM4G5OLN2ZCUVDFTKOOEAL4}

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	2026-05-18T03:32:06.840975Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

10113670dd72dbac8a951966a738805f387b4e1b8cfe020037421f91d9718c0d

Aliases

arxiv: 1303.0097 · arxiv_version: 1303.0097v1 · doi: 10.48550/arxiv.1303.0097 · pith_short_12: CAITM4G5OLN2 · pith_short_16: CAITM4G5OLN2ZCUV · pith_short_8: CAITM4G5

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/CAITM4G5OLN2ZCUVDFTKOOEAL4 \
  | 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: 10113670dd72dbac8a951966a738805f387b4e1b8cfe020037421f91d9718c0d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "48d35597e643e6ab4fb9ef1d147fef421cd51bbbb557e7dbf9a21a7d9b99da69",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2013-03-01T06:54:25Z",
    "title_canon_sha256": "61913e5fe4809bbc0140781ccea0d6f3ff037a015a059265a7a49098be8d70b4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.0097",
    "kind": "arxiv",
    "version": 1
  }
}