Pith Number

pith:43AV5TVC

pith:2024:43AV5TVC7IC7QS5WG6AEF2YZFO

not attested not anchored not stored refs pending

Measure doubling in unimodular locally compact groups and quotients

Chieu-Minh Tran, Fei Peng, Zuxiang Kong

arxiv:2411.17246 v1 · 2024-11-26 · math.GR · math.CO · math.LO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{43AV5TVC7IC7QS5WG6AEF2YZFO}

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	2026-07-05T09:40:29.477064Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e6c15ecea2fa05f84bb6378042eb192b8d63c945a6c20a2e72187b19620f1492

Aliases

arxiv: 2411.17246 · arxiv_version: 2411.17246v1 · doi: 10.48550/arxiv.2411.17246 · pith_short_12: 43AV5TVC7IC7 · pith_short_16: 43AV5TVC7IC7QS5W · pith_short_8: 43AV5TVC

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/43AV5TVC7IC7QS5WG6AEF2YZFO \
  | 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: e6c15ecea2fa05f84bb6378042eb192b8d63c945a6c20a2e72187b19620f1492

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9392b3c98a8b29f57e26d0616ed3be067a8b3bba3b61e26beedc6c9476abba99",
    "cross_cats_sorted": [
      "math.CO",
      "math.LO"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2024-11-26T09:25:28Z",
    "title_canon_sha256": "85e6c875433f3acf0a1b5c161dec3606ffd94593dda849e595ff7f610d42e9ca"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2411.17246",
    "kind": "arxiv",
    "version": 1
  }
}