Pith Number

pith:ZKBJHDKP

pith:2024:ZKBJHDKPBPPUAJGSNBAJBLVO35

not attested not anchored not stored refs pending

Uniform Borel Amenability

\'Ad\'am Tim\'ar, G\'abor Elek

arxiv:2408.12565 v5 · 2024-08-22 · math.DS · math.LO · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZKBJHDKPBPPUAJGSNBAJBLVO35}

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	2026-05-20T00:02:02.799302Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ca82938d4f0bdf4024d2684090aeaedf7c8c66543a40fc1f25e4b1e10532da18

Aliases

arxiv: 2408.12565 · arxiv_version: 2408.12565v5 · doi: 10.48550/arxiv.2408.12565 · pith_short_12: ZKBJHDKPBPPU · pith_short_16: ZKBJHDKPBPPUAJGS · pith_short_8: ZKBJHDKP

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/ZKBJHDKPBPPUAJGSNBAJBLVO35 \
  | 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: ca82938d4f0bdf4024d2684090aeaedf7c8c66543a40fc1f25e4b1e10532da18

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a87bd014fcbb571a60f385d91300f038cf85d0294e4db6fee9195ea1c4327a95",
    "cross_cats_sorted": [
      "math.LO",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2024-08-22T17:31:48Z",
    "title_canon_sha256": "319e01a003b659b480337254d708db29d356530c1f5f8d699547fa25466156c3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2408.12565",
    "kind": "arxiv",
    "version": 5
  }
}