Pith Number

pith:IOXDSUYD

pith:2020:IOXDSUYDYJ5KY2PO2K6F7CPYBA

not attested not anchored not stored refs pending

Smooth locus of twisted affine Schubert varieties and twisted affine Demazure modules

Jiuzu Hong, Marc Besson

arxiv:2010.11357 v4 · 2020-10-22 · math.RT · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IOXDSUYDYJ5KY2PO2K6F7CPYBA}

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	2026-07-05T11:41:16.841215Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

43ae395303c27aac69eed2bc5f89f808128dbb54d7be2732c2327bcf2d372363

Aliases

arxiv: 2010.11357 · arxiv_version: 2010.11357v4 · doi: 10.48550/arxiv.2010.11357 · pith_short_12: IOXDSUYDYJ5K · pith_short_16: IOXDSUYDYJ5KY2PO · pith_short_8: IOXDSUYD

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/IOXDSUYDYJ5KY2PO2K6F7CPYBA \
  | 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: 43ae395303c27aac69eed2bc5f89f808128dbb54d7be2732c2327bcf2d372363

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d2aa21c3f0e388f57cb3b31dd317864a31c9fb492e164581a60afec34759f1bf",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2020-10-22T00:37:31Z",
    "title_canon_sha256": "aa733731e0d4df23517b3ec94ce791c7a6c02e097716caed188d5078c5bf2eff"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2010.11357",
    "kind": "arxiv",
    "version": 4
  }
}