Pith Number

pith:LGNZXFLS

pith:2023:LGNZXFLSCRX666QQJEENRRL2UV

not attested not anchored not stored refs pending

Baire Measurable Matchings in Non-Amenable Graphs

Alexander Kastner, Clark Lyons

arxiv:2310.20047 v2 · 2023-10-30 · 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{LGNZXFLSCRX666QQJEENRRL2UV}

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

2 papers in Pith

Measurable matchings in unbalanced graphs

Receipt and verification

First computed	2026-07-05T07:12:00.932304Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

599b9b9572146fef7a104908d8c57aa56b62cbb8e886b6e1ecc2d08235481d23

Aliases

arxiv: 2310.20047 · arxiv_version: 2310.20047v2 · doi: 10.48550/arxiv.2310.20047 · pith_short_12: LGNZXFLSCRX6 · pith_short_16: LGNZXFLSCRX666QQ · pith_short_8: LGNZXFLS

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/LGNZXFLSCRX666QQJEENRRL2UV \
  | 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: 599b9b9572146fef7a104908d8c57aa56b62cbb8e886b6e1ecc2d08235481d23

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c93ad9c5ee7d10cffb7a01350dac8c95560e4cababae8af0be07e4a12f110ead",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2023-10-30T22:08:35Z",
    "title_canon_sha256": "3f5e0a95aa848d92c7408f3cde26dfa90bd374ff79ad603d25c777e2d88b99ec"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2310.20047",
    "kind": "arxiv",
    "version": 2
  }
}