Pith Number

pith:F5IZ3BUS

pith:2014:F5IZ3BUSRV472WPAIQCIVG7HFW

not attested not anchored not stored refs pending

Non-Archimedean Whittaker functions as characters: a probabilistic approach to the Shintani-Casselman-Shalika formula

Reda Chhaibi

arxiv:1409.4615 v3 · 2014-09-16 · math.RT · math.CO · math.NT · 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{F5IZ3BUSRV472WPAIQCIVG7HFW}

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	2026-05-18T01:11:41.457702Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2f519d86928d79fd59e044048a9be72d853d78d859bb8a3fbd558100c35ae373

Aliases

arxiv: 1409.4615 · arxiv_version: 1409.4615v3 · doi: 10.48550/arxiv.1409.4615 · pith_short_12: F5IZ3BUSRV47 · pith_short_16: F5IZ3BUSRV472WPA · pith_short_8: F5IZ3BUS

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/F5IZ3BUSRV472WPAIQCIVG7HFW \
  | 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: 2f519d86928d79fd59e044048a9be72d853d78d859bb8a3fbd558100c35ae373

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b687e367fcbebd89d526a0f082f1cc173b18afcc8ece4eb26e4cae1967dc5e57",
    "cross_cats_sorted": [
      "math.CO",
      "math.NT",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2014-09-16T13:00:07Z",
    "title_canon_sha256": "265304d4e7162d1a9d599c47dd0dead1d6ed0016a75b6c1c7899b9bdde78e72d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.4615",
    "kind": "arxiv",
    "version": 3
  }
}