Pith Number

pith:ABE5KA46

pith:2018:ABE5KA46DB3FZSQNUDCSHTY46E

not attested not anchored not stored refs pending

Weak subconvexity without a Ramanujan hypothesis

Jesse Thorner, Kannan Soundararajan

arxiv:1804.03654 v2 · 2018-04-10 · 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{ABE5KA46DB3FZSQNUDCSHTY46E}

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	2026-05-17T23:44:59.686010Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0049d5039e18765cca0da0c523cf1cf1056d93482cfdd0b7d4c2e2230aced11d

Aliases

arxiv: 1804.03654 · arxiv_version: 1804.03654v2 · doi: 10.48550/arxiv.1804.03654 · pith_short_12: ABE5KA46DB3F · pith_short_16: ABE5KA46DB3FZSQN · pith_short_8: ABE5KA46

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/ABE5KA46DB3FZSQNUDCSHTY46E \
  | 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: 0049d5039e18765cca0da0c523cf1cf1056d93482cfdd0b7d4c2e2230aced11d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "120eabf3489b610d375d1a50633e2855dd6ad55a21e0068998cc708f1ec5c5ca",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2018-04-10T17:58:37Z",
    "title_canon_sha256": "bd5a8c83b8addbb87cf511045bd942afee28bced16f25d20a98ad0e583450a4d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1804.03654",
    "kind": "arxiv",
    "version": 2
  }
}