Pith Number

pith:GNX6LAB3

pith:2016:GNX6LAB3OKRORLJUWB3ZVY2QXD

not attested not anchored not stored refs pending

Canonical syzygies of smooth curves on toric surfaces

Alexander Lemmens, Filip Cools, Jeroen Demeyer, Wouter Castryck

arxiv:1609.02360 v4 · 2016-09-08 · math.AG · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GNX6LAB3OKRORLJUWB3ZVY2QXD}

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	2026-05-17T23:47:36.617709Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

336fe5803b72a2e8ad34b0779ae350b8d37506b3f729b2f05ee98548b479ac27

Aliases

arxiv: 1609.02360 · arxiv_version: 1609.02360v4 · doi: 10.48550/arxiv.1609.02360 · pith_short_12: GNX6LAB3OKRO · pith_short_16: GNX6LAB3OKRORLJU · pith_short_8: GNX6LAB3

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/GNX6LAB3OKRORLJUWB3ZVY2QXD \
  | 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: 336fe5803b72a2e8ad34b0779ae350b8d37506b3f729b2f05ee98548b479ac27

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "706cc6f0524ec886ed3d4dd25357afee9bdf2ac7af878aca56a8a9f1f3997234",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2016-09-08T09:54:01Z",
    "title_canon_sha256": "05df6afeb4bd835c427a5627f4555f92322405e416417b0b1ebdbf0918fc695c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.02360",
    "kind": "arxiv",
    "version": 4
  }
}