Pith Number

pith:JNMTB72W

pith:2016:JNMTB72W6NVXUDT27ZWM5FR3NU

not attested not anchored not stored refs pending

Microlocal lifts and quantum unique ergodicity on $GL(2,\mathbb{Q}_p)$

Paul D. Nelson

arxiv:1601.02528 v2 · 2016-01-11 · math.NT · math.DS · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JNMTB72W6NVXUDT27ZWM5FR3NU}

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	2026-05-17T23:57:10.634032Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4b5930ff56f36b7a0e7afe6cce963b6d338b9e8183aa5c762f57cd7c539ed1b6

Aliases

arxiv: 1601.02528 · arxiv_version: 1601.02528v2 · doi: 10.48550/arxiv.1601.02528 · pith_short_12: JNMTB72W6NVX · pith_short_16: JNMTB72W6NVXUDT2 · pith_short_8: JNMTB72W

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/JNMTB72W6NVXUDT27ZWM5FR3NU \
  | 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: 4b5930ff56f36b7a0e7afe6cce963b6d338b9e8183aa5c762f57cd7c539ed1b6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "627355d92f1c08d88e3dbd39e518a15a50593f87557fc80c4f4c0cc6e0ee0480",
    "cross_cats_sorted": [
      "math.DS",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2016-01-11T17:24:12Z",
    "title_canon_sha256": "1050063561ce67362ac081015426d4ed61ad70759336b186e65ae82f8a9de718"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.02528",
    "kind": "arxiv",
    "version": 2
  }
}