Pith Number

pith:ETPFAKOA

pith:1999:ETPFAKOAMH5CHURA4FDG4JHKAN

not attested not anchored not stored refs pending

Whittaker functions on quantum groups and q-deformed Toda operators

Pavel Etingof

arxiv:math/9901053 v1 · 1999-01-13 · math.QA

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ETPFAKOAMH5CHURA4FDG4JHKAN}

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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

$q$-Deformed Discrete Whittaker Processes

Receipt and verification

First computed	2026-07-04T14:40:55.738935Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

24de5029c061fa23d220e1466e24ea03609fed89a99cc92d785d75af81c17b24

Aliases

arxiv: math/9901053 · arxiv_version: math/9901053v1 · doi: 10.48550/arxiv.math/9901053 · pith_short_12: ETPFAKOAMH5C · pith_short_16: ETPFAKOAMH5CHURA · pith_short_8: ETPFAKOA

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/ETPFAKOAMH5CHURA4FDG4JHKAN \
  | 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: 24de5029c061fa23d220e1466e24ea03609fed89a99cc92d785d75af81c17b24

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c21f249472688a83d7fe09df82440e550e2c633f62b88099d8181bd46eb26206",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.QA",
    "submitted_at": "1999-01-13T00:10:20Z",
    "title_canon_sha256": "456968f230a2852a33071c0d913d356c0a31dad0d395be124a5db7ee6933c69f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9901053",
    "kind": "arxiv",
    "version": 1
  }
}