Pith Number

pith:HLCZVZJW

pith:2015:HLCZVZJWMPGPMLCZBFI3DYPCBY

not attested not anchored not stored refs pending

On the square-freeness of the offset equation to a rational planar curve

Gema M. Diaz-Toca, Jorge Caravantes, Juan Gerardo Alc\'azar

arxiv:1509.01036 v1 · 2015-09-03 · 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{HLCZVZJWMPGPMLCZBFI3DYPCBY}

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	2026-05-18T01:34:04.474415Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3ac59ae53663ccf62c590951b1e1e20e076ca00153245ad4008541b699372339

Aliases

arxiv: 1509.01036 · arxiv_version: 1509.01036v1 · doi: 10.48550/arxiv.1509.01036 · pith_short_12: HLCZVZJWMPGP · pith_short_16: HLCZVZJWMPGPMLCZ · pith_short_8: HLCZVZJW

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/HLCZVZJWMPGPMLCZBFI3DYPCBY \
  | 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: 3ac59ae53663ccf62c590951b1e1e20e076ca00153245ad4008541b699372339

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "84f0591f0f3d92bf699f471b0d525df095277e8daa160ee5cf9d36dc0f9110b1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2015-09-03T11:18:13Z",
    "title_canon_sha256": "7a8bbac61987a86df261f4766b49bd9d6318f1d4b5420c3a3dd055f6aa0f60ba"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.01036",
    "kind": "arxiv",
    "version": 1
  }
}