Pith Number

pith:VWQQLAJV

pith:2020:VWQQLAJVSKTNSSDLBHG2CUZICO

not attested not anchored not stored refs pending

Beyond the Lascar Group

Ehud Hrushovski

arxiv:2011.12009 v3 · 2020-11-24 · math.LO · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VWQQLAJVSKTNSSDLBHG2CUZICO}

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	2026-07-05T03:58:45.263051Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ada105813592a6d9486b09cda1532813acca4b64374aee2710e77198ed798f6a

Aliases

arxiv: 2011.12009 · arxiv_version: 2011.12009v3 · doi: 10.48550/arxiv.2011.12009 · pith_short_12: VWQQLAJVSKTN · pith_short_16: VWQQLAJVSKTNSSDL · pith_short_8: VWQQLAJV

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/VWQQLAJVSKTNSSDLBHG2CUZICO \
  | 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: ada105813592a6d9486b09cda1532813acca4b64374aee2710e77198ed798f6a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "72885fe1ba90230c3099ac83c17a8af90eeb7ec55e4f3b99b84ca56edc882a22",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2020-11-24T10:27:14Z",
    "title_canon_sha256": "dfa7c02354a9ce4261b4caaef6900b40a186557512f2103753b23c1af031922d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2011.12009",
    "kind": "arxiv",
    "version": 3
  }
}