Pith Number

pith:KXURHZNV

pith:2012:KXURHZNV47I2DNW6P7SWS4TEQT

not attested not anchored not stored refs pending

Borel equivalence relations and Lascar strong types

Anand Pillay, Krzysztof Krupinski, Slawomir Solecki

arxiv:1204.3485 v1 · 2012-04-16 · 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{KXURHZNV47I2DNW6P7SWS4TEQT}

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	2026-05-18T03:57:51.407083Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

55e913e5b5e7d1a1b6de7fe569726484de97110ebdda0aef63127e74b455f816

Aliases

arxiv: 1204.3485 · arxiv_version: 1204.3485v1 · doi: 10.48550/arxiv.1204.3485 · pith_short_12: KXURHZNV47I2 · pith_short_16: KXURHZNV47I2DNW6 · pith_short_8: KXURHZNV

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/KXURHZNV47I2DNW6P7SWS4TEQT \
  | 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: 55e913e5b5e7d1a1b6de7fe569726484de97110ebdda0aef63127e74b455f816

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d253ec039bd476ac65ca32f517d783911f584aeb7c3e3d2705cbc5e20bf2743b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2012-04-16T13:53:00Z",
    "title_canon_sha256": "c0a135a3616492c5c27c6ae9697f02f3b428528b515204f5a222693ba094ea99"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.3485",
    "kind": "arxiv",
    "version": 1
  }
}