Pith Number

pith:S6672F6N

pith:2026:S6672F6NZZQB6MEGAT3TY4GJ4J

not attested not anchored not stored refs pending

Distance, Normals and Double Normals for Real Plane Curves with Singularrities

Dirk Siersma

arxiv:2606.08072 v1 · 2026-06-06 · math.AG · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{S6672F6NZZQB6MEGAT3TY4GJ4J}

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	2026-06-09T01:05:25.386898Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

97bdfd17cdce601f308604f73c70c9e2470e4717a69f9abb2ed9c27fea3fdeb6

Aliases

arxiv: 2606.08072 · arxiv_version: 2606.08072v1 · doi: 10.48550/arxiv.2606.08072 · pith_short_12: S6672F6NZZQB · pith_short_16: S6672F6NZZQB6MEG · pith_short_8: S6672F6N

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/S6672F6NZZQB6MEGAT3TY4GJ4J \
  | 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: 97bdfd17cdce601f308604f73c70c9e2470e4717a69f9abb2ed9c27fea3fdeb6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2012e8786c67bb3d032c523b69a3451e8fc6a423c7513821086a3de443e77708",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2026-06-06T09:46:12Z",
    "title_canon_sha256": "e79a9a4dc516e267045e5dc23d210d05352bea8bbf3d39875f7129d439648fde"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.08072",
    "kind": "arxiv",
    "version": 1
  }
}