Pith Number

pith:LUDC2JX4

pith:2015:LUDC2JX4BHU35HUEA6ZR6GHS27

not attested not anchored not stored refs pending

Commutation relations for quantum root vectors of cominuscole parabolics

Marco Matassa

arxiv:1509.08762 v1 · 2015-09-29 · math.QA · math.CO · 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{LUDC2JX4BHU35HUEA6ZR6GHS27}

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	2026-05-18T01:31:47.184442Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5d062d26fc09e9be9e8407b31f18f2d7fcaea7b1102027d9c5d6bd4223e28220

Aliases

arxiv: 1509.08762 · arxiv_version: 1509.08762v1 · doi: 10.48550/arxiv.1509.08762 · pith_short_12: LUDC2JX4BHU3 · pith_short_16: LUDC2JX4BHU35HUE · pith_short_8: LUDC2JX4

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/LUDC2JX4BHU35HUEA6ZR6GHS27 \
  | 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: 5d062d26fc09e9be9e8407b31f18f2d7fcaea7b1102027d9c5d6bd4223e28220

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "536a2cfa495b6aea02714525f758d18beb41e2ddc538c7caed97d399feeac939",
    "cross_cats_sorted": [
      "math.CO",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2015-09-29T14:18:52Z",
    "title_canon_sha256": "256c48051e51904968e46ad189a7fc6febd7a09ef55223210db932e7eebbffde"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.08762",
    "kind": "arxiv",
    "version": 1
  }
}