Pith Number

pith:FTFP65XL

pith:2025:FTFP65XLEP3OHTQZDZD4XTQ2T5

not attested not anchored not stored refs pending

$q$-Deformed Discrete Whittaker Processes

Richard Ninness

arxiv:2509.02881 v2 · 2025-09-02 · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FTFP65XLEP3OHTQZDZD4XTQ2T5}

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	2026-06-04T01:08:31.423684Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2ccaff76eb23f6e3ce191e47cbce1a9f6e5dba11712eda169899205e2d2f2544

Aliases

arxiv: 2509.02881 · arxiv_version: 2509.02881v2 · doi: 10.48550/arxiv.2509.02881 · pith_short_12: FTFP65XLEP3O · pith_short_16: FTFP65XLEP3OHTQZ · pith_short_8: FTFP65XL

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/FTFP65XLEP3OHTQZDZD4XTQ2T5 \
  | 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: 2ccaff76eb23f6e3ce191e47cbce1a9f6e5dba11712eda169899205e2d2f2544

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ff854231e90519d05e68a9d5c2db866faf582677c509d07a7854c8a9fcbe2f8c",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2025-09-02T23:03:50Z",
    "title_canon_sha256": "a010fd35a486da803fe72ee26424386e2605fa58bea6942faa7f6faa9ab66c33"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2509.02881",
    "kind": "arxiv",
    "version": 2
  }
}