Pith Number

pith:UHR5DEU4

pith:2012:UHR5DEU4OFGH5XHGRBWXIVYB4R

not attested not anchored not stored refs pending

Proof of a Combinatorial Conjecture Coming from the PAC-Bayesian Machine Learning Theory

Malik Younsi

arxiv:1209.0824 v1 · 2012-09-04 · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UHR5DEU4OFGH5XHGRBWXIVYB4R}

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	2026-05-18T03:46:16.126427Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a1e3d1929c714c7edce6886d745701e4497fbaeb753b3386c2c62e669d5c91cb

Aliases

arxiv: 1209.0824 · arxiv_version: 1209.0824v1 · doi: 10.48550/arxiv.1209.0824 · pith_short_12: UHR5DEU4OFGH · pith_short_16: UHR5DEU4OFGH5XHG · pith_short_8: UHR5DEU4

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/UHR5DEU4OFGH5XHGRBWXIVYB4R \
  | 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: a1e3d1929c714c7edce6886d745701e4497fbaeb753b3386c2c62e669d5c91cb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "75532121ae0f4752e585dc5410516512194bbd416e72d5d37d718a3b76d8f14d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-09-04T22:51:32Z",
    "title_canon_sha256": "7387ce0cf0953925f4ea64a860a5a291da376824d3ace750c4c010d2a421a3ec"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.0824",
    "kind": "arxiv",
    "version": 1
  }
}