Pith Number

pith:BO6VYC33

pith:2023:BO6VYC33TBL6I34UDBSVIN2P4P

not attested not anchored not stored refs pending

Braid groups, elliptic curves, and resolving the quartic

Jeroen Schillewaert, Peter Huxford

arxiv:2309.12999 v1 · 2023-09-22 · math.GT · math.AG · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BO6VYC33TBL6I34UDBSVIN2P4P}

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	2026-07-05T06:53:25.773733Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0bbd5c0b7b9857e46f94186554374fe3c8ed680c28b553d444c939c576339654

Aliases

arxiv: 2309.12999 · arxiv_version: 2309.12999v1 · doi: 10.48550/arxiv.2309.12999 · pith_short_12: BO6VYC33TBL6 · pith_short_16: BO6VYC33TBL6I34U · pith_short_8: BO6VYC33

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/BO6VYC33TBL6I34UDBSVIN2P4P \
  | 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: 0bbd5c0b7b9857e46f94186554374fe3c8ed680c28b553d444c939c576339654

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "03b3552174547bef0326442a5459f0ecefb137f13ed75a8756312a64ea75d4b1",
    "cross_cats_sorted": [
      "math.AG",
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2023-09-22T17:02:32Z",
    "title_canon_sha256": "ace3f3c02b31d6b38af8486cc74bfca0ad954ab6d3548f2048c2399d3797d21e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2309.12999",
    "kind": "arxiv",
    "version": 1
  }
}