Pith Number

pith:4OGTW5D4

pith:2016:4OGTW5D4GVSK6PJ24QEXA3YJK5

not attested not anchored not stored refs pending

A lower bound for the gonality conjecture

Wouter Castryck

arxiv:1611.05309 v2 · 2016-11-16 · 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{4OGTW5D4GVSK6PJ24QEXA3YJK5}

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	2026-05-18T00:46:38.981520Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e38d3b747c3564af3d3ae409706f0957483bf4dae7659baf70078d1b660c62cf

Aliases

arxiv: 1611.05309 · arxiv_version: 1611.05309v2 · doi: 10.48550/arxiv.1611.05309 · pith_short_12: 4OGTW5D4GVSK · pith_short_16: 4OGTW5D4GVSK6PJ2 · pith_short_8: 4OGTW5D4

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/4OGTW5D4GVSK6PJ24QEXA3YJK5 \
  | 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: e38d3b747c3564af3d3ae409706f0957483bf4dae7659baf70078d1b660c62cf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2f47706a675b7f2535bb9c7a547a128de08731b8140fed19ba5e1ec53d33374f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2016-11-16T15:17:52Z",
    "title_canon_sha256": "138d6e6777f64e9f2d31e53128e99de6ac45235d542b5973a37fe79b1e2bda09"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.05309",
    "kind": "arxiv",
    "version": 2
  }
}