Pith Number

pith:VGZ2P4T5

pith:2019:VGZ2P4T5XVKJNTBPSMO2T7YXQR

not attested not anchored not stored refs pending

Classification of Rank 6 Modular Categories with Galois Group $\langle (012)(345)\rangle$

David Green

arxiv:1908.07128 v2 · 2019-08-20 · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VGZ2P4T5XVKJNTBPSMO2T7YXQR}

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	2026-07-05T01:25:01.726856Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a9b3a7f27dbd5496cc2f931da9ff17844c90d70016daf9e18b67ceee4e1f9ac6

Aliases

arxiv: 1908.07128 · arxiv_version: 1908.07128v2 · doi: 10.48550/arxiv.1908.07128 · pith_short_12: VGZ2P4T5XVKJ · pith_short_16: VGZ2P4T5XVKJNTBP · pith_short_8: VGZ2P4T5

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/VGZ2P4T5XVKJNTBPSMO2T7YXQR \
  | 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: a9b3a7f27dbd5496cc2f931da9ff17844c90d70016daf9e18b67ceee4e1f9ac6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "60fc45cf2b8a1dcf46823e92656b83cfdd93a4ff872282f5fbf735ebb8ce1bac",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2019-08-20T02:05:54Z",
    "title_canon_sha256": "e8e6c4cb7ce9fb55c5803b58cc382f48e2b313d3789406be76845ea89f248bd8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.07128",
    "kind": "arxiv",
    "version": 2
  }
}