Pith Number

pith:B6YFUR5T

pith:2018:B6YFUR5TBETSXB3KUVKYXIGK7A

not attested not anchored not stored refs pending

An answer to Furstenberg's problem on topological disjointness

Song Shao, Wen Huang, Xiangdong Ye

arxiv:1807.10155 v4 · 2018-07-25 · 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{B6YFUR5TBETSXB3KUVKYXIGK7A}

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	2026-05-17T23:52:52.595187Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0fb05a47b309272b876aa5558ba0caf82a17b6f6e915c44ea2db59b70af65231

Aliases

arxiv: 1807.10155 · arxiv_version: 1807.10155v4 · doi: 10.48550/arxiv.1807.10155 · pith_short_12: B6YFUR5TBETS · pith_short_16: B6YFUR5TBETSXB3K · pith_short_8: B6YFUR5T

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/B6YFUR5TBETSXB3KUVKYXIGK7A \
  | 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: 0fb05a47b309272b876aa5558ba0caf82a17b6f6e915c44ea2db59b70af65231

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "78aaf3f45e681051c4e8d41bec5fe721dba3592abc7f7db07aa6bd584f48a260",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2018-07-25T15:47:47Z",
    "title_canon_sha256": "3fb22274c0fe79221d9becefe460e84e96ee5d70adda3cd2aeda74bab20df770"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1807.10155",
    "kind": "arxiv",
    "version": 4
  }
}