Pith Number

pith:FW4CWMWQ

pith:2016:FW4CWMWQNBJI5X6KQHPDPPLGH5

not attested not anchored not stored refs pending

Double-bosonization and Majid's Conjecture, (III): type-crossing and inductions of $E_6$ and $E_7$, $E_8$

Hongmei Hu, Naihong Hu

arxiv:1601.04320 v2 · 2016-01-17 · math.QA · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FW4CWMWQNBJI5X6KQHPDPPLGH5}

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	2026-05-18T01:21:15.422027Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2db82b32d068528edfca81de37bd663f785459ef662c4f016ceb96ebfea97fbd

Aliases

arxiv: 1601.04320 · arxiv_version: 1601.04320v2 · doi: 10.48550/arxiv.1601.04320 · pith_short_12: FW4CWMWQNBJI · pith_short_16: FW4CWMWQNBJI5X6K · pith_short_8: FW4CWMWQ

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/FW4CWMWQNBJI5X6KQHPDPPLGH5 \
  | 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: 2db82b32d068528edfca81de37bd663f785459ef662c4f016ceb96ebfea97fbd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ba4232a6266d55bc449faa66183fd526faa4997fa85bca017fd04625e4458330",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2016-01-17T18:37:07Z",
    "title_canon_sha256": "177c6fbe4d6a882cb13b36187c03f8dc4c439f20d26dc773d71bbda216c20b9f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.04320",
    "kind": "arxiv",
    "version": 2
  }
}