Pith Number

pith:LPYGG2OM

pith:2016:LPYGG2OM5UW72KEQVLDULLWSCO

not attested not anchored not stored refs pending

A short note on extension theorems and their connection to universal consistency in machine learning

Andreas Christmann, Dao-Hong Xiang, Florian Dumpert

arxiv:1604.04505 v1 · 2016-04-15 · stat.ML · cs.LG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LPYGG2OM5UW72KEQVLDULLWSCO}

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	2026-05-18T01:17:01.993609Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5bf06369cced2dfd2890aac745aed21397431615fe75e267605d79bef6df939c

Aliases

arxiv: 1604.04505 · arxiv_version: 1604.04505v1 · doi: 10.48550/arxiv.1604.04505 · pith_short_12: LPYGG2OM5UW7 · pith_short_16: LPYGG2OM5UW72KEQ · pith_short_8: LPYGG2OM

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/LPYGG2OM5UW72KEQVLDULLWSCO \
  | 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: 5bf06369cced2dfd2890aac745aed21397431615fe75e267605d79bef6df939c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9aa61bdf798be398ffc0e2919b03705ff37735ce18a47044fe4e870af684f9be",
    "cross_cats_sorted": [
      "cs.LG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "stat.ML",
    "submitted_at": "2016-04-15T13:51:57Z",
    "title_canon_sha256": "5c13a95ed2f4a8c7793e2532247588c9799ca325e043b98e6e1355187f37c8bb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.04505",
    "kind": "arxiv",
    "version": 1
  }
}