Pith Number

pith:KD2CIYMM

pith:2023:KD2CIYMMGPNQRFUQWG74YH4GR4

not attested not anchored not stored refs pending

Subexpressions and the Bruhat order for double cosets

Ben Elias, Hankyung Ko, Leonardo Patimo, Nicolas Libedinsky

arxiv:2307.15726 v2 · 2023-07-28 · 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{KD2CIYMMGPNQRFUQWG74YH4GR4}

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

Idempotents, traces, and dimensions in Hecke categories

Receipt and verification

First computed	2026-07-05T07:30:20.507924Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

50f424618c33db089690b1bfcc1f868f05d0d4d452f4f15e090a45a37dea71a9

Aliases

arxiv: 2307.15726 · arxiv_version: 2307.15726v2 · doi: 10.48550/arxiv.2307.15726 · pith_short_12: KD2CIYMMGPNQ · pith_short_16: KD2CIYMMGPNQRFUQ · pith_short_8: KD2CIYMM

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/KD2CIYMMGPNQRFUQWG74YH4GR4 \
  | 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: 50f424618c33db089690b1bfcc1f868f05d0d4d452f4f15e090a45a37dea71a9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a0e695ead96cf80a38978349a526e40d62bbf7196ca3d5fdfcf4d756243aa0ba",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2023-07-28T17:18:25Z",
    "title_canon_sha256": "6b5829716681b2044515106592cbca5c338c0360bb4ee0a7a2f6c77a54b485ff"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2307.15726",
    "kind": "arxiv",
    "version": 2
  }
}