Pith Number

pith:XN7AOH27

pith:2017:XN7AOH27MV6J2EEOVFTUK27PIP

not attested not anchored not stored refs pending

A separation result for countable unions of Borel rectangles

Dominique Lecomte (IMJ)

arxiv:1708.00642 v1 · 2017-08-02 · 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{XN7AOH27MV6J2EEOVFTUK27PIP}

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	2026-05-17T23:43:38.521845Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bb7e071f5f657c9d108ea967456bef43e7cc48709e15ee739cb07f9f1b81e32c

Aliases

arxiv: 1708.00642 · arxiv_version: 1708.00642v1 · doi: 10.48550/arxiv.1708.00642 · pith_short_12: XN7AOH27MV6J · pith_short_16: XN7AOH27MV6J2EEO · pith_short_8: XN7AOH27

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/XN7AOH27MV6J2EEOVFTUK27PIP \
  | 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: bb7e071f5f657c9d108ea967456bef43e7cc48709e15ee739cb07f9f1b81e32c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cc6cf576ad128a305ced41f7430611631dae0a05e404db4eb9726ba0585720fc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2017-08-02T08:28:31Z",
    "title_canon_sha256": "3e684768163d764fca86564a528a46db0b1a0e79433eadc95347b0549f662b54"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.00642",
    "kind": "arxiv",
    "version": 1
  }
}