Pith Number

pith:CKAADNUS

pith:2018:CKAADNUSAJHVR2MPRE3F6XYWWG

not attested not anchored not stored refs pending

Plane curves with three syzygies, minimal Tjurina curves curves, and nearly cuspidal curves

Alexandru Dimca, Gabriel Sticlaru

arxiv:1810.11766 v8 · 2018-10-28 · 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{CKAADNUSAJHVR2MPRE3F6XYWWG}

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	2026-05-17T23:47:39.729566Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

128001b692024f58e98f89365f5f16b184e3e3b0be1870c804e7b1ab4e6e29e2

Aliases

arxiv: 1810.11766 · arxiv_version: 1810.11766v8 · doi: 10.48550/arxiv.1810.11766 · pith_short_12: CKAADNUSAJHV · pith_short_16: CKAADNUSAJHVR2MP · pith_short_8: CKAADNUS

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/CKAADNUSAJHVR2MPRE3F6XYWWG \
  | 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: 128001b692024f58e98f89365f5f16b184e3e3b0be1870c804e7b1ab4e6e29e2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "546bed11a899b956f97f12f88bfbf3a821e125793f475894c5a5ce484a70c00d",
    "cross_cats_sorted": [
      "math.AC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2018-10-28T06:29:49Z",
    "title_canon_sha256": "df261d84d4f09ce9c2932f283f9710d7b9be2005f0da13514e8876d425248fbd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1810.11766",
    "kind": "arxiv",
    "version": 8
  }
}