Pith Number

pith:XOEAIUCB

pith:2023:XOEAIUCBIDLCMBH2Q7ONRSLPYD

not attested not anchored not stored refs pending

Theta functions, fourth moments of eigenforms, and the sup-norm problem III

Raphael S. Steiner

arxiv:2311.16255 v1 · 2023-11-27 · 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{XOEAIUCBIDLCMBH2Q7ONRSLPYD}

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	2026-07-05T07:17:38.431440Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bb8804504140d62604fa87dcd8c96fc0c018e16f736e374265137d40c4070ca1

Aliases

arxiv: 2311.16255 · arxiv_version: 2311.16255v1 · doi: 10.48550/arxiv.2311.16255 · pith_short_12: XOEAIUCBIDLC · pith_short_16: XOEAIUCBIDLCMBH2 · pith_short_8: XOEAIUCB

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/XOEAIUCBIDLCMBH2Q7ONRSLPYD \
  | 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: bb8804504140d62604fa87dcd8c96fc0c018e16f736e374265137d40c4070ca1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "23788196323f98ed34cfbabfcc5cd7469a6eb42fd13890067a9f361b338c07f9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2023-11-27T19:02:57Z",
    "title_canon_sha256": "dc43c018fc45a80fd0c830c7a8b7662c57c3497822f3557cdd8779b1ec5ec999"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2311.16255",
    "kind": "arxiv",
    "version": 1
  }
}