Pith Number

pith:CTLIC642

pith:2026:CTLIC642LMPLK4P64YR6GX6JT2

not attested not anchored not stored refs pending

Murmurations in the Depth Aspect for Maass and Modular Forms

Leonard Tomczak

arxiv:2606.08353 v1 · 2026-06-06 · 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{CTLIC642LMPLK4P64YR6GX6JT2}

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	2026-06-09T01:05:34.467045Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

14d6817b9a5b1eb571fee623e35fc99e96f2c6c83a48a1b66c6ec959088cf9cb

Aliases

arxiv: 2606.08353 · arxiv_version: 2606.08353v1 · doi: 10.48550/arxiv.2606.08353 · pith_short_12: CTLIC642LMPL · pith_short_16: CTLIC642LMPLK4P6 · pith_short_8: CTLIC642

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/CTLIC642LMPLK4P64YR6GX6JT2 \
  | 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: 14d6817b9a5b1eb571fee623e35fc99e96f2c6c83a48a1b66c6ec959088cf9cb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "19f84586d3fdce469ac18b78ff6164199fe8614fd515a379442b3612538c47de",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2026-06-06T21:56:01Z",
    "title_canon_sha256": "ed2bf9bc1973ddb9bef0e759a116fb6ac25c9d026f3679db2457daa8f483774e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.08353",
    "kind": "arxiv",
    "version": 1
  }
}