Pith Number

pith:AKHZGJGH

pith:2026:AKHZGJGHJST5TBK62NVYG6EXUI

not attested not anchored not stored refs pending

The dual Artin isomorphism for Artin groups of XXL type

Sean O'Brien

arxiv:2606.13296 v1 · 2026-06-11 · 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{AKHZGJGHJST5TBK62NVYG6EXUI}

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	2026-06-12T01:09:51.143125Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

028f9324c74ca7d9855ed36b837897a22e9b44d0b46d389cad1fd039bf93d7cb

Aliases

arxiv: 2606.13296 · arxiv_version: 2606.13296v1 · doi: 10.48550/arxiv.2606.13296 · pith_short_12: AKHZGJGHJST5 · pith_short_16: AKHZGJGHJST5TBK6 · pith_short_8: AKHZGJGH

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/AKHZGJGHJST5TBK62NVYG6EXUI \
  | 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: 028f9324c74ca7d9855ed36b837897a22e9b44d0b46d389cad1fd039bf93d7cb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6b291649de842d6fd0654200e0c0cd82a3d35e8dd35c157d198577a1e0c5cd75",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2026-06-11T12:48:38Z",
    "title_canon_sha256": "b899e57511c6ae44c3fb1f1668d4f254decbdf1de010089e01a80cce1fdde1aa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.13296",
    "kind": "arxiv",
    "version": 1
  }
}