Pith Number

pith:UV4S2YID

pith:2022:UV4S2YIDH2UTECX27YHRRKGCHJ

not attested not anchored not stored refs pending

Effective equidistribution of primitive rational points on expanding horospheres

Andreas Str\"ombergsson, Daniel El-Baz, Min Lee

arxiv:2212.07408 v2 · 2022-12-14 · math.NT · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UV4S2YIDH2UTECX27YHRRKGCHJ}

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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.

Cited by

1 paper in Pith

On exotic matrix exponential sums and Bessel-Speh functions

Receipt and verification

First computed	2026-07-05T06:31:07.535989Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a5792d61033ea9320afafe0f18a8c23a6139d63b9750168efa191a28eb12b804

Aliases

arxiv: 2212.07408 · arxiv_version: 2212.07408v2 · doi: 10.48550/arxiv.2212.07408 · pith_short_12: UV4S2YIDH2UT · pith_short_16: UV4S2YIDH2UTECX2 · pith_short_8: UV4S2YID

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/UV4S2YIDH2UTECX27YHRRKGCHJ \
  | 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: a5792d61033ea9320afafe0f18a8c23a6139d63b9750168efa191a28eb12b804

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b708ea6df4d368fe65f1b731a626b66a86f2cdc28c4e57d356c2e6164cf0fbc3",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2022-12-14T18:46:21Z",
    "title_canon_sha256": "857dd529330464bd02c6cd3ea593d1aae4a365cfe7edff0d8565dc13d46224e3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2212.07408",
    "kind": "arxiv",
    "version": 2
  }
}