Pith Number

pith:V3VV24SH

pith:2026:V3VV24SH2T4NU2ER4GYCHIYMHJ

not attested not anchored not stored refs pending

Contradiction Graphs Determine VC Dimension

Daniel Ibaibarriaga, Jesse Campbell, Lev Reyzin

arxiv:2605.20434 v1 · 2026-05-19 · stat.ML · cs.DM · 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{V3VV24SH2T4NU2ER4GYCHIYMHJ}

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	2026-05-21T01:04:37.819438Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aeeb5d7247d4f8da6891e1b023a30c3a716d21f6f35ec07f212cd567e337b7ff

Aliases

arxiv: 2605.20434 · arxiv_version: 2605.20434v1 · doi: 10.48550/arxiv.2605.20434 · pith_short_12: V3VV24SH2T4N · pith_short_16: V3VV24SH2T4NU2ER · pith_short_8: V3VV24SH

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/V3VV24SH2T4NU2ER4GYCHIYMHJ \
  | 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: aeeb5d7247d4f8da6891e1b023a30c3a716d21f6f35ec07f212cd567e337b7ff

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "df12e441cab6d6cdbd81ea0fec811ecf61354a93ecd5b80f801246fa1bf9146c",
    "cross_cats_sorted": [
      "cs.DM",
      "cs.LG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "stat.ML",
    "submitted_at": "2026-05-19T19:30:46Z",
    "title_canon_sha256": "157eba59f0a9e8df1ed7ba0d0a042a9a13bec86a9b3f74d9cd68b9b5bb104159"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.20434",
    "kind": "arxiv",
    "version": 1
  }
}