Pith Number

pith:B3ZD2P3F

pith:2016:B3ZD2P3FT4QIWGWZCBHALE7MWJ

not attested not anchored not stored refs pending

Bruhat order and nil-Hecke algebras for Weyl groupoids

Hiroyuki Yamane, Iv\'an Angiono

arxiv:1609.02714 v2 · 2016-09-09 · math.RA · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{B3ZD2P3FT4QIWGWZCBHALE7MWJ}

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	2026-05-18T01:03:40.410343Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0ef23d3f659f208b1ad9104e0593ecb26f63cfe0a130df9ca062b2b930767083

Aliases

arxiv: 1609.02714 · arxiv_version: 1609.02714v2 · doi: 10.48550/arxiv.1609.02714 · pith_short_12: B3ZD2P3FT4QI · pith_short_16: B3ZD2P3FT4QIWGWZ · pith_short_8: B3ZD2P3F

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/B3ZD2P3FT4QIWGWZCBHALE7MWJ \
  | 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: 0ef23d3f659f208b1ad9104e0593ecb26f63cfe0a130df9ca062b2b930767083

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "76b4baa8e572aae3675644373a4e812dd6660ca968ff5cf9deb156b2bb19af5b",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2016-09-09T09:19:22Z",
    "title_canon_sha256": "91074d682db433b0a7df3f640ec20ab99f6e5dbd0c365f29f9f8ff7a4243880f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.02714",
    "kind": "arxiv",
    "version": 2
  }
}