Pith Number

pith:HV4P5RN3

pith:2018:HV4P5RN3IUTF7RGN3275KWLKY6

not attested not anchored not stored refs pending

Canonical bases for tensor products and super Kazhdan-Lusztig theory

Hideya Watanabe, Huanchen Bao, Weiqiang Wang

arxiv:1808.09388 v4 · 2018-08-28 · 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{HV4P5RN3IUTF7RGN3275KWLKY6}

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	2026-07-05T01:16:07.359337Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3d78fec5bb45265fc4cddebfd5596ac7b72f702dcc039ac8027c7c72249d231f

Aliases

arxiv: 1808.09388 · arxiv_version: 1808.09388v4 · doi: 10.48550/arxiv.1808.09388 · pith_short_12: HV4P5RN3IUTF · pith_short_16: HV4P5RN3IUTF7RGN · pith_short_8: HV4P5RN3

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/HV4P5RN3IUTF7RGN3275KWLKY6 \
  | 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: 3d78fec5bb45265fc4cddebfd5596ac7b72f702dcc039ac8027c7c72249d231f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1e88ac638854519c15e249f2d11e2551385e9beb80eb3b0d26c77b5f0a452450",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2018-08-28T16:25:39Z",
    "title_canon_sha256": "ffa91383d570eb1588c9909f7858fdf958634654d08f3ab8b249696658a8d233"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.09388",
    "kind": "arxiv",
    "version": 4
  }
}