Pith Number

pith:T4CX2DGE

pith:2026:T4CX2DGEO2Z7KW5HVKKSYDEXHZ

not attested not anchored not stored refs pending

Forbidden relations in universal virtual braid groups

Charalampos Stylianakis, Oscar Ocampo

arxiv:2606.06095 v1 · 2026-06-04 · 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{T4CX2DGEO2Z7KW5HVKKSYDEXHZ}

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	2026-06-05T01:15:33.132537Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9f057d0cc476b3f55ba7aa952c0c973e67542816ae55fb6219e5b29886d1c398

Aliases

arxiv: 2606.06095 · arxiv_version: 2606.06095v1 · doi: 10.48550/arxiv.2606.06095 · pith_short_12: T4CX2DGEO2Z7 · pith_short_16: T4CX2DGEO2Z7KW5H · pith_short_8: T4CX2DGE

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/T4CX2DGEO2Z7KW5HVKKSYDEXHZ \
  | 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: 9f057d0cc476b3f55ba7aa952c0c973e67542816ae55fb6219e5b29886d1c398

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b835ab51228bef83d9f63428cee64243ad662325ccc8d611a3180a8dd5ad9c77",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2026-06-04T12:32:53Z",
    "title_canon_sha256": "0d604325fb95b7694d1526ea29a5ef7a5675b149662d20c32a40ccf9241016bd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.06095",
    "kind": "arxiv",
    "version": 1
  }
}