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Pith Number

pith:3Q7Q3RVO

pith:2014:3Q7Q3RVO4CYA2RS3XQJYQFFYY7
not attested not anchored not stored refs pending

Twisted zastava and $q$-Whittaker functions

Alexander Braverman, Michael Finkelberg

arxiv:1410.2365 v4 · 2014-10-09 · math.AG · math.CO · math.QA · math.RT

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{3Q7Q3RVO4CYA2RS3XQJYQFFYY7}

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

Receipt and verification
First computed 2026-05-18T00:28:32.777627Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

dc3f0dc6aee0b00d465bbc138814b8c7d1118bd24cf670853aac5ce27c3778dc

Aliases

arxiv: 1410.2365 · arxiv_version: 1410.2365v4 · doi: 10.48550/arxiv.1410.2365 · pith_short_12: 3Q7Q3RVO4CYA · pith_short_16: 3Q7Q3RVO4CYA2RS3 · pith_short_8: 3Q7Q3RVO
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/3Q7Q3RVO4CYA2RS3XQJYQFFYY7 \
  | 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: dc3f0dc6aee0b00d465bbc138814b8c7d1118bd24cf670853aac5ce27c3778dc
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "2958f069227db96959e7970b3cf797f87e01a83ef90b51449ee53e0f62a64dc0",
    "cross_cats_sorted": [
      "math.CO",
      "math.QA",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2014-10-09T06:13:14Z",
    "title_canon_sha256": "f3a226c94e07bda3deafb8935e13aac49bc7b274d1b8405923097c513ad93b96"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1410.2365",
    "kind": "arxiv",
    "version": 4
  }
}