Pith Number

pith:JT3TU5PX

pith:2012:JT3TU5PXQGXASNZVMBVRBGMVGL

not attested not anchored not stored refs pending

On the GL(3) Kuznetsov Formula with applications to Symmetry Types of families of $L$-functions

Alex Kontorovich, Dorian Goldfeld

arxiv:1203.6667 v1 · 2012-03-29 · 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{JT3TU5PXQGXASNZVMBVRBGMVGL}

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	2026-05-18T03:59:01.023434Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4cf73a75f781ae093735606b10999532de39a62a3f3bb96f9d22ae774deee4ce

Aliases

arxiv: 1203.6667 · arxiv_version: 1203.6667v1 · doi: 10.48550/arxiv.1203.6667 · pith_short_12: JT3TU5PXQGXA · pith_short_16: JT3TU5PXQGXASNZV · pith_short_8: JT3TU5PX

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/JT3TU5PXQGXASNZVMBVRBGMVGL \
  | 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: 4cf73a75f781ae093735606b10999532de39a62a3f3bb96f9d22ae774deee4ce

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "925ab90775d6aeb83ca20da145ed76b1d45d86f2c4ef9dcac1ab8f65e2a03f55",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-03-29T20:59:08Z",
    "title_canon_sha256": "e4b2264563f124519893ea4b5623609d46aafd39fb19a4d50d0d7ad88a9935d7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.6667",
    "kind": "arxiv",
    "version": 1
  }
}