Pith Number

pith:HPKN2ECL

pith:2013:HPKN2ECLPAMG6CLXFGTSOONRF2

not attested not anchored not stored refs pending

Decomposing Borel functions using the Shore-Slaman join theorem

Takayuki Kihara

arxiv:1304.0698 v2 · 2013-04-02 · math.LO · math.GN

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HPKN2ECLPAMG6CLXFGTSOONRF2}

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	2026-05-18T01:06:23.298010Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3bd4dd104b78186f097729a72739b12ea0730a9f402c4ce1fecc5fddebeae68a

Aliases

arxiv: 1304.0698 · arxiv_version: 1304.0698v2 · doi: 10.48550/arxiv.1304.0698 · pith_short_12: HPKN2ECLPAMG · pith_short_16: HPKN2ECLPAMG6CLX · pith_short_8: HPKN2ECL

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/HPKN2ECLPAMG6CLXFGTSOONRF2 \
  | 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: 3bd4dd104b78186f097729a72739b12ea0730a9f402c4ce1fecc5fddebeae68a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "46a11dbcd5cdc001f597bf724c88969af139d090a2d37ec0b06eb5906cc6f43a",
    "cross_cats_sorted": [
      "math.GN"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2013-04-02T17:12:25Z",
    "title_canon_sha256": "6135c475a9378c80bd34c13ac1b1a353fb7bd849e2b0eb8a5727b22b442e4c49"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.0698",
    "kind": "arxiv",
    "version": 2
  }
}