Pith Number

pith:QGN5BNWQ

pith:2018:QGN5BNWQNNG6MV5Z6M66UVFDEJ

not attested not anchored not stored refs pending

On the complexity of Borel equivalence relations with some countability property

Dominique Lecomte (IMJ)

arxiv:1805.09167 v2 · 2018-05-23 · 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{QGN5BNWQNNG6MV5Z6M66UVFDEJ}

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	2026-05-18T00:14:43.825873Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

819bd0b6d06b4de657b9f33dea54a3227a3f6da78ff809185e298c34ba7b682b

Aliases

arxiv: 1805.09167 · arxiv_version: 1805.09167v2 · doi: 10.48550/arxiv.1805.09167 · pith_short_12: QGN5BNWQNNG6 · pith_short_16: QGN5BNWQNNG6MV5Z · pith_short_8: QGN5BNWQ

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/QGN5BNWQNNG6MV5Z6M66UVFDEJ \
  | 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: 819bd0b6d06b4de657b9f33dea54a3227a3f6da78ff809185e298c34ba7b682b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1ad59e23e934b3eb7ca86f80ed6d814f52b1112cf9400d687abf7c309da94fae",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2018-05-23T13:45:32Z",
    "title_canon_sha256": "b72119b9fd3224160ad98a1b65342e772fef8c7c5f2f5f23e28a55fd1d530759"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1805.09167",
    "kind": "arxiv",
    "version": 2
  }
}