Pith Number

pith:3ZCQ5MKO

pith:2017:3ZCQ5MKO76PBPTHPGFK5T2YGPT

not attested not anchored not stored refs pending

Wirtinger curves, Artin groups, and hypocycloids

Enrique Artal Bartolo, Jorge Mart\'in-Morales, Jos\'e Ignacio Cogolludo-Agust\'in

arxiv:1705.03268 v2 · 2017-05-09 · math.AG · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3ZCQ5MKO76PBPTHPGFK5T2YGPT}

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	2026-05-18T00:36:19.214792Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

de450eb14eff9e17ccef3155d9eb067ccce3b69f6dcd0844f3bfce777bd9cfd8

Aliases

arxiv: 1705.03268 · arxiv_version: 1705.03268v2 · doi: 10.48550/arxiv.1705.03268 · pith_short_12: 3ZCQ5MKO76PB · pith_short_16: 3ZCQ5MKO76PBPTHP · pith_short_8: 3ZCQ5MKO

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/3ZCQ5MKO76PBPTHPGFK5T2YGPT \
  | 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: de450eb14eff9e17ccef3155d9eb067ccce3b69f6dcd0844f3bfce777bd9cfd8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e31c061479d54f84f2656826c6115d6b02a5dd0f84ffab461512a54ccb67170d",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2017-05-09T10:48:30Z",
    "title_canon_sha256": "dec8dbdb9602c28c17405ff3768d0d35a2f0160da3fa81e623ac4e929165de4f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1705.03268",
    "kind": "arxiv",
    "version": 2
  }
}