Pith Number

pith:LSVQA4XE

pith:2017:LSVQA4XEV2PCCHKECP2VAILNKK

not attested not anchored not stored refs pending

Poincar\'e duality and Langlands duality for extended affine Weyl groups

Graham A. Niblo, Nick Wright, Roger Plymen

arxiv:1711.10281 v1 · 2017-11-28 · math.KT · 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{LSVQA4XEV2PCCHKECP2VAILNKK}

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	2026-05-18T00:29:22.743568Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5cab0072e4ae9e211d4413f550216d5299bf99ea90bb7b543ad5849416972483

Aliases

arxiv: 1711.10281 · arxiv_version: 1711.10281v1 · doi: 10.48550/arxiv.1711.10281 · pith_short_12: LSVQA4XEV2PC · pith_short_16: LSVQA4XEV2PCCHKE · pith_short_8: LSVQA4XE

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/LSVQA4XEV2PCCHKECP2VAILNKK \
  | 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: 5cab0072e4ae9e211d4413f550216d5299bf99ea90bb7b543ad5849416972483

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e549db60620635141cb74797326e10aaaf0b71f5eb0fc40daa1c78122de350fa",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.KT",
    "submitted_at": "2017-11-28T13:26:40Z",
    "title_canon_sha256": "2a1301e2e72cc94d3e7222253814f9bbe3395dbc9e843f1475cf29952a89f9c0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1711.10281",
    "kind": "arxiv",
    "version": 1
  }
}