Pith Number

pith:EVUILMLN

pith:2021:EVUILMLNNT7EO7KSKVXSK2XFME

not attested not anchored not stored refs pending

Combinatorics of Iwahori Whittaker Functions

Slava Naprienko

arxiv:2110.10377 v1 · 2021-10-20 · math.RT · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{EVUILMLNNT7EO7KSKVXSK2XFME}

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	2026-07-05T03:24:16.560259Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

256885b16d6cfe477d52556f256ae5611857eaf5b85761c5590ee8e323ee27a5

Aliases

arxiv: 2110.10377 · arxiv_version: 2110.10377v1 · doi: 10.48550/arxiv.2110.10377 · pith_short_12: EVUILMLNNT7E · pith_short_16: EVUILMLNNT7EO7KS · pith_short_8: EVUILMLN

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/EVUILMLNNT7EO7KSKVXSK2XFME \
  | 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: 256885b16d6cfe477d52556f256ae5611857eaf5b85761c5590ee8e323ee27a5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "015116135406c909a37f8a168cc9ce0700d3ee65a6e2c48fa4e27a58a536b4f9",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2021-10-20T05:10:53Z",
    "title_canon_sha256": "51807207dc329455fb98dbd13a47d65c41491aa767a0407229a7b15eda0f265d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2110.10377",
    "kind": "arxiv",
    "version": 1
  }
}