Pith Number

pith:AYB33T6F

pith:2012:AYB33T6F3KUYVLCO2NEWESPVT2

not attested not anchored not stored refs pending

On \Sigma^1_1-complete Equivalence Relations on the Generalized Baire Space

Tapani Hyttinen, Vadim Kulikov

arxiv:1209.3932 v1 · 2012-09-18 · 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{AYB33T6F3KUYVLCO2NEWESPVT2}

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	2026-05-18T03:45:22.213870Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0603bdcfc5daa98aac4ed3496249f59e96bed511f11f323142e1a71f4d764151

Aliases

arxiv: 1209.3932 · arxiv_version: 1209.3932v1 · doi: 10.48550/arxiv.1209.3932 · pith_short_12: AYB33T6F3KUY · pith_short_16: AYB33T6F3KUYVLCO · pith_short_8: AYB33T6F

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/AYB33T6F3KUYVLCO2NEWESPVT2 \
  | 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: 0603bdcfc5daa98aac4ed3496249f59e96bed511f11f323142e1a71f4d764151

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3626f2684c727ce331652de047ba9eafcc15891b0aaa984dd17ae265fcb69e2b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2012-09-18T12:45:32Z",
    "title_canon_sha256": "eeb93b97ee9895fb3e06f583232f09d9f5c05e09d729945fc35ba226600d4c9e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.3932",
    "kind": "arxiv",
    "version": 1
  }
}