Pith Number

pith:YDBAXK6B

pith:2018:YDBAXK6BH2S7QWKS4KTEQTO3V4

not attested not anchored not stored refs pending

Equivalences between learning of data and probability distributions, and their applications

Frank Stephan, George Barmpalias, Nan Fang

arxiv:1801.02566 v5 · 2018-01-05 · math.LO · cs.IT · math.IT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YDBAXK6BH2S7QWKS4KTEQTO3V4}

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	2026-05-18T00:10:46.984060Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c0c20babc13ea5f85952e2a6484ddbaf125a9b4aa770f133c09bd8fdbf1eaa84

Aliases

arxiv: 1801.02566 · arxiv_version: 1801.02566v5 · doi: 10.48550/arxiv.1801.02566 · pith_short_12: YDBAXK6BH2S7 · pith_short_16: YDBAXK6BH2S7QWKS · pith_short_8: YDBAXK6B

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/YDBAXK6BH2S7QWKS4KTEQTO3V4 \
  | 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: c0c20babc13ea5f85952e2a6484ddbaf125a9b4aa770f133c09bd8fdbf1eaa84

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "536dbfcd660276b3a4545b696fd0b368f26354893f9e14e6c94d30347ef9caef",
    "cross_cats_sorted": [
      "cs.IT",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2018-01-05T08:40:59Z",
    "title_canon_sha256": "3ad85b1492ee42ffe8523621ad11d0e12dceb1fc496c23f3e161dbecae056d17"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1801.02566",
    "kind": "arxiv",
    "version": 5
  }
}