Pith Number

pith:74JIQRI3

pith:2026:74JIQRI3FURVFN235TVWKUAB3Q

not attested not anchored not stored refs pending

Observing Joinings: A Distance-Array Characterization of Furstenberg Disjointness

Ao Xu

arxiv:2605.23349 v1 · 2026-05-22 · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{74JIQRI3FURVFN235TVWKUAB3Q}

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	2026-05-25T02:01:50.257161Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ff1288451b2d2352b75beceb655001dc31383970fe0d0c5024916927becc8eb9

Aliases

arxiv: 2605.23349 · arxiv_version: 2605.23349v1 · doi: 10.48550/arxiv.2605.23349 · pith_short_12: 74JIQRI3FURV · pith_short_16: 74JIQRI3FURVFN23 · pith_short_8: 74JIQRI3

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/74JIQRI3FURVFN235TVWKUAB3Q \
  | 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: ff1288451b2d2352b75beceb655001dc31383970fe0d0c5024916927becc8eb9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f693e8b52cddd1bf9968137caebef4f765ea9afe55edafc09ceee9c077cb6cc3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2026-05-22T08:12:38Z",
    "title_canon_sha256": "a88950773635def4225c0b10ac0998467f8ea9b3d8915c13ff7a03c34be21b68"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.23349",
    "kind": "arxiv",
    "version": 1
  }
}