Pith Number

pith:QVG5GG2L

pith:2016:QVG5GG2LZACIMB52SOWAU7GYXV

not attested not anchored not stored refs pending

Quantum Unique Ergodicity for half-integral weight forms

Maksym Radziwi{\l}{\l}, Stephen Lester

arxiv:1606.04119 v1 · 2016-06-13 · math.NT · math.DS · math.SP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QVG5GG2LZACIMB52SOWAU7GYXV}

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	2026-07-05T00:39:52.887425Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

854dd31b4bc8048607ba93ac0a7cd8bd4a95c65f3817ad7a9f1801d3d4e0b146

Aliases

arxiv: 1606.04119 · arxiv_version: 1606.04119v1 · doi: 10.48550/arxiv.1606.04119 · pith_short_12: QVG5GG2LZACI · pith_short_16: QVG5GG2LZACIMB52 · pith_short_8: QVG5GG2L

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/QVG5GG2LZACIMB52SOWAU7GYXV \
  | 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: 854dd31b4bc8048607ba93ac0a7cd8bd4a95c65f3817ad7a9f1801d3d4e0b146

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b29c0c08625eeebbb1c5267606444812f8a27b72a81e8ffe77535ff0b17b9296",
    "cross_cats_sorted": [
      "math.DS",
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2016-06-13T20:05:49Z",
    "title_canon_sha256": "c84a9bb30bfa6650a2cb70ca3101b590dfc5490af6358450f793d25ed604e31b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.04119",
    "kind": "arxiv",
    "version": 1
  }
}