Pith Number

pith:Y3YMM54L

pith:2014:Y3YMM54L7CUJB5OYYU7Q2UJ47A

not attested not anchored not stored refs pending

Spherical averages of Siegel transforms for higher rank diagonal actions and applications

Anish Ghosh, Jayadev S. Athreya, Jimmy Tseng

arxiv:1407.3573 v2 · 2014-07-14 · math.DS · 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{Y3YMM54L7CUJB5OYYU7Q2UJ47A}

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	2026-05-18T02:30:08.133092Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c6f0c6778bf8a890f5d8c53f0d513cf82da8a05b14c3021a601ce26570ff0775

Aliases

arxiv: 1407.3573 · arxiv_version: 1407.3573v2 · doi: 10.48550/arxiv.1407.3573 · pith_short_12: Y3YMM54L7CUJ · pith_short_16: Y3YMM54L7CUJB5OY · pith_short_8: Y3YMM54L

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/Y3YMM54L7CUJB5OYYU7Q2UJ47A \
  | 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: c6f0c6778bf8a890f5d8c53f0d513cf82da8a05b14c3021a601ce26570ff0775

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b7c6a66b9b874a2720ba052fc8b03dcf83c5f9df468390042fc258922a0ca7f1",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2014-07-14T09:13:05Z",
    "title_canon_sha256": "9ea8aa741a5f0d04bf6b111f3619573b0f8a27c4c7ca35ac576494b85fedf7b9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1407.3573",
    "kind": "arxiv",
    "version": 2
  }
}