Pith Number

pith:UNZV67YA

pith:2010:UNZV67YA37HSPSM3T3PRJ2TNMN

not attested not anchored not stored refs pending

Affine nil-Hecke algebras and braided differential structure on affine Weyl groups

Anatol N. Kirillov, Toshiaki Maeno

arxiv:1008.3593 v1 · 2010-08-21 · 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{UNZV67YA37HSPSM3T3PRJ2TNMN}

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	2026-05-18T04:41:55.579006Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a3735f7f00dfcf27c99b9edf14ea6d637c7688c3e38c57a34c79ad042346d033

Aliases

arxiv: 1008.3593 · arxiv_version: 1008.3593v1 · doi: 10.48550/arxiv.1008.3593 · pith_short_12: UNZV67YA37HS · pith_short_16: UNZV67YA37HSPSM3 · pith_short_8: UNZV67YA

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/UNZV67YA37HSPSM3T3PRJ2TNMN \
  | 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: a3735f7f00dfcf27c99b9edf14ea6d637c7688c3e38c57a34c79ad042346d033

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "64635bc2d2fd4cf41a92c92af96120e9aaeacd38d400ff65336784556a91a9cb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2010-08-21T02:17:28Z",
    "title_canon_sha256": "e56f28b343a89157ae979f2d1429d33e2f9e41bdc8272db709cae956058e869c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1008.3593",
    "kind": "arxiv",
    "version": 1
  }
}