Pith Number

pith:CZMWBJES

pith:2015:CZMWBJESOYSALRYTQUZXSXFEF2

not attested not anchored not stored refs pending

On the subconvexity problem for L-functions on GL(3)

Jack Buttcane, Valentin Blomer

arxiv:1504.02667 v1 · 2015-04-10 · 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{CZMWBJESOYSALRYTQUZXSXFEF2}

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	2026-05-18T02:19:06.912214Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

165960a492762405c7138533795ca42eb9beb56cb142abbc493a95dd16f7fc07

Aliases

arxiv: 1504.02667 · arxiv_version: 1504.02667v1 · doi: 10.48550/arxiv.1504.02667 · pith_short_12: CZMWBJESOYSA · pith_short_16: CZMWBJESOYSALRYT · pith_short_8: CZMWBJES

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/CZMWBJESOYSALRYTQUZXSXFEF2 \
  | 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: 165960a492762405c7138533795ca42eb9beb56cb142abbc493a95dd16f7fc07

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f66f6d1b0b25e4e5d6716183ea8d27c63500c53cde63edfb229120534738e45a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-04-10T13:11:24Z",
    "title_canon_sha256": "6a04316b20b68816533b9bc8a205fb2a3cb5149bfbf7c8cf705d021c40841aa5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.02667",
    "kind": "arxiv",
    "version": 1
  }
}