Pith Number

pith:2Y6FCK37

pith:2012:2Y6FCK37WL2G44KL6TI3J4TK6A

not attested not anchored not stored refs pending

The Whittaker-Shintani functions for symplectic groups

Xin Shen

arxiv:1211.3661 v1 · 2012-11-15 · math.RT · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2Y6FCK37WL2G44KL6TI3J4TK6A}

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	2026-05-18T03:40:39.137773Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d63c512b7fb2f46e714bf4d1b4f26af010d1340c5bd632b2589fddb3e6a958d2

Aliases

arxiv: 1211.3661 · arxiv_version: 1211.3661v1 · doi: 10.48550/arxiv.1211.3661 · pith_short_12: 2Y6FCK37WL2G · pith_short_16: 2Y6FCK37WL2G44KL · pith_short_8: 2Y6FCK37

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/2Y6FCK37WL2G44KL6TI3J4TK6A \
  | 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: d63c512b7fb2f46e714bf4d1b4f26af010d1340c5bd632b2589fddb3e6a958d2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "be64a6fabd8731b9b273342bc75c31739db4ad034998b3abd9655b35f9cc183a",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2012-11-15T17:10:53Z",
    "title_canon_sha256": "d21cb748c0aa5f0ae72f04eea473d2a28246529d8091afa5dae09a142f70358c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.3661",
    "kind": "arxiv",
    "version": 1
  }
}