Pith Number

pith:TI2GMGUP

pith:2012:TI2GMGUP5IWUMYRVHMIENUKGJK

not attested not anchored not stored refs pending

Distributions defined by q-supernomials, fusion products, and Demazure modules

Ernst Schulte-Geers, Stavros Kousidis

arxiv:1209.1748 v2 · 2012-09-08 · 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{TI2GMGUP5IWUMYRVHMIENUKGJK}

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	2026-05-18T02:25:32.887175Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9a34661a8fea2d4662353b1046d1464a9a5056678d45c62ec622e6041b9ad680

Aliases

arxiv: 1209.1748 · arxiv_version: 1209.1748v2 · doi: 10.48550/arxiv.1209.1748 · pith_short_12: TI2GMGUP5IWU · pith_short_16: TI2GMGUP5IWUMYRV · pith_short_8: TI2GMGUP

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/TI2GMGUP5IWUMYRVHMIENUKGJK \
  | 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: 9a34661a8fea2d4662353b1046d1464a9a5056678d45c62ec622e6041b9ad680

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7eb03bb4b0ad374a1c8cffc09bb8d2610c998ebba5cc1e80e49ac0084b48203d",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-09-08T20:07:15Z",
    "title_canon_sha256": "b5c4a06c83ecf39fe29d8313d22747d04ea9f9985034cc80c46091766390d0c5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.1748",
    "kind": "arxiv",
    "version": 2
  }
}