Pith Number

pith:7VBPLRQC

pith:2023:7VBPLRQC7NYAAUZNHZA7VAVSAG

not attested not anchored not stored refs pending

Measure growth in compact semisimple Lie groups and the Kemperman Inverse Problem

Chieu-Minh Tran, Yifan Jing

arxiv:2303.15628 v1 · 2023-03-27 · math.GR · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7VBPLRQC7NYAAUZNHZA7VAVSAG}

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.

Cited by

1 paper in Pith

Measure doubling in unimodular locally compact groups and quotients

Receipt and verification

First computed	2026-07-05T05:55:25.939360Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fd42f5c602fb7000532d3e41fa82b2019d6aeb915ec14b5f5c86439edddb07ac

Aliases

arxiv: 2303.15628 · arxiv_version: 2303.15628v1 · doi: 10.48550/arxiv.2303.15628 · pith_short_12: 7VBPLRQC7NYA · pith_short_16: 7VBPLRQC7NYAAUZN · pith_short_8: 7VBPLRQC

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/7VBPLRQC7NYAAUZNHZA7VAVSAG \
  | 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: fd42f5c602fb7000532d3e41fa82b2019d6aeb915ec14b5f5c86439edddb07ac

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8c320836c873199cfa2266e216b26068251d786d0aacfc5d1d1dd801087f6322",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2023-03-27T22:55:35Z",
    "title_canon_sha256": "53fc8f2ae08a8ae61aea188c2f4f9fc6634fcc2c480cc247c9114356fd869ef7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2303.15628",
    "kind": "arxiv",
    "version": 1
  }
}