Pith Number

pith:JLILIEZX

pith:2023:JLILIEZXKYFKHW362TC2B5HZ77

not attested not anchored not stored refs pending

A geometric realization of the asymptotic affine Hecke algebra

Ivan Karpov, Roman Bezrukavnikov, Vasily Krylov

arxiv:2312.10582 v2 · 2023-12-17 · 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{JLILIEZXKYFKHW362TC2B5HZ77}

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

A positivity property in the based ring of the lowest two-sided cell

Receipt and verification

First computed	2026-07-05T09:16:45.834923Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4ad0b41337560aa3db7ed4c5a0f4f9ffc7fffcdeb5e861d9cab87172a77a6fbc

Aliases

arxiv: 2312.10582 · arxiv_version: 2312.10582v2 · doi: 10.48550/arxiv.2312.10582 · pith_short_12: JLILIEZXKYFK · pith_short_16: JLILIEZXKYFKHW36 · pith_short_8: JLILIEZX

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/JLILIEZXKYFKHW362TC2B5HZ77 \
  | 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: 4ad0b41337560aa3db7ed4c5a0f4f9ffc7fffcdeb5e861d9cab87172a77a6fbc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "20830ecacf631a35a4b74351e689578155d5f60bd782324a61e6e43d50a3a04e",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2023-12-17T02:02:31Z",
    "title_canon_sha256": "30e73390e68c6406abf0dfe87daf7e3c0f84c6a7419171527598c3a1db886234"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2312.10582",
    "kind": "arxiv",
    "version": 2
  }
}