Pith Number

pith:3XD6ZPS5

pith:2018:3XD6ZPS5XDPC4WWWJUAARSE77W

not attested not anchored not stored refs pending

Grassmann graphs, degenerate DAHA, and non-symmetric dual $q$-Hahn polynomials

Jae-Ho Lee

arxiv:1809.08763 v3 · 2018-09-24 · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3XD6ZPS5XDPC4WWWJUAARSE77W}

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.

Cited by

1 paper in Pith

The Lie algebra $\mathfrak{sl}_4(\mathbb C)$ and the hypercubes

Receipt and verification

First computed	2026-07-05T04:15:38.566504Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ddc7ecbe5db8de2e5ad64d0008c89ffd89fd7614fd50888a7795b38daf9fb2cb

Aliases

arxiv: 1809.08763 · arxiv_version: 1809.08763v3 · doi: 10.48550/arxiv.1809.08763 · pith_short_12: 3XD6ZPS5XDPC · pith_short_16: 3XD6ZPS5XDPC4WWW · pith_short_8: 3XD6ZPS5

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/3XD6ZPS5XDPC4WWWJUAARSE77W \
  | 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: ddc7ecbe5db8de2e5ad64d0008c89ffd89fd7614fd50888a7795b38daf9fb2cb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "74b34eead4646f2aa7563295b4c25d86a1070ca97f9196f6f65ac29de8dbbcc9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-09-24T05:07:34Z",
    "title_canon_sha256": "ac07dd51b043dec74e49f8f92ac3874ef0fc8b061c85a6ddcc0b4ea79bea221e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1809.08763",
    "kind": "arxiv",
    "version": 3
  }
}