Pith Number

pith:535DPVQ5

pith:2016:535DPVQ5ZL74JIOU2HVBA56NQ7

not attested not anchored not stored refs pending

On the fourth moment of Hecke Maass forms and the Random Wave Conjecture

Jack Buttcane, Rizwanur Khan

arxiv:1606.06703 v2 · 2016-06-21 · 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{535DPVQ5ZL74JIOU2HVBA56NQ7}

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	2026-05-17T23:53:13.112859Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eefa37d61dcaffc4a1d4d1ea1077cd87e30c0e05232d0b5a5d8da155cd43c086

Aliases

arxiv: 1606.06703 · arxiv_version: 1606.06703v2 · doi: 10.48550/arxiv.1606.06703 · pith_short_12: 535DPVQ5ZL74 · pith_short_16: 535DPVQ5ZL74JIOU · pith_short_8: 535DPVQ5

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/535DPVQ5ZL74JIOU2HVBA56NQ7 \
  | 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: eefa37d61dcaffc4a1d4d1ea1077cd87e30c0e05232d0b5a5d8da155cd43c086

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "24abbbd3a648828bdfee83a1d0e16725d67f9ad0f8902b3da11eb335eb71e637",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2016-06-21T18:53:03Z",
    "title_canon_sha256": "230bd7645d37d7499a052092345382c0ff7699d83ad5fade9b4f0ddaf14e66db"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.06703",
    "kind": "arxiv",
    "version": 2
  }
}