Pith Number

pith:AF7ZOVJI

pith:2022:AF7ZOVJIRGFK44ODZ2ZENGOHFV

not attested not anchored not stored refs pending

Geometry in the Furstenberg Conjecture

Yunping Jiang

arxiv:2206.13569 v2 · 2022-06-27 · 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{AF7ZOVJIRGFK44ODZ2ZENGOHFV}

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	2026-06-12T00:07:47.889839Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

017f975528898aae71c3ceb24699c72d7a79f3efae882f5f0cd04afefd250bf0

Aliases

arxiv: 2206.13569 · arxiv_version: 2206.13569v2 · doi: 10.48550/arxiv.2206.13569 · pith_short_12: AF7ZOVJIRGFK · pith_short_16: AF7ZOVJIRGFK44OD · pith_short_8: AF7ZOVJI

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/AF7ZOVJIRGFK44ODZ2ZENGOHFV \
  | 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: 017f975528898aae71c3ceb24699c72d7a79f3efae882f5f0cd04afefd250bf0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "485611a01ed46c835d2ec3abf5e09b569b605141c165bc79e1ef4d2347946901",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2022-06-27T18:15:37Z",
    "title_canon_sha256": "f1a444ff5749211e630703b6348b5b798d7191bdec303603d61a43e0f01bcd30"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2206.13569",
    "kind": "arxiv",
    "version": 2
  }
}