Pith Number

pith:4IAZGXLD

pith:2008:4IAZGXLDI7NRPS5ALYEQALTLOA

not attested not anchored not stored refs pending

Alexander-equivalent Zariski pairs of irreducible sextics

Christophe Eyral, Mutsuo Oka

arxiv:0811.2310 v1 · 2008-11-14 · 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{4IAZGXLDI7NRPS5ALYEQALTLOA}

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	2026-05-18T02:58:10.945474Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e201935d6347db17cba05e09002e6b7025ff038cd1407cf783e9ebc5387ee3b9

Aliases

arxiv: 0811.2310 · arxiv_version: 0811.2310v1 · doi: 10.48550/arxiv.0811.2310 · pith_short_12: 4IAZGXLDI7NR · pith_short_16: 4IAZGXLDI7NRPS5A · pith_short_8: 4IAZGXLD

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/4IAZGXLDI7NRPS5ALYEQALTLOA \
  | 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: e201935d6347db17cba05e09002e6b7025ff038cd1407cf783e9ebc5387ee3b9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8f1f75edb7812afcaeb1b39f7df918be1f8f587e70d71fc9126d00d1ed9d6c15",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2008-11-14T10:46:56Z",
    "title_canon_sha256": "ffea759aa0b03e64bf4023320336adee09d3b62a4de19a3de1e99395cdea593c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0811.2310",
    "kind": "arxiv",
    "version": 1
  }
}