Pith Number

pith:M4NGYHAT

pith:2017:M4NGYHATOVVZDHHFX5P3LR6GXN

not attested not anchored not stored refs pending

Inapproximability of VC Dimension and Littlestone's Dimension

Aviad Rubinstein, Pasin Manurangsi

arxiv:1705.09517 v1 · 2017-05-26 · cs.CC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{M4NGYHATOVVZDHHFX5P3LR6GXN}

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	2026-05-18T00:43:38.465136Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

671a6c1c13756b919ce5bf5fb5c7c6bb55365002c7fad62dc23b5fe4fb6f4e41

Aliases

arxiv: 1705.09517 · arxiv_version: 1705.09517v1 · doi: 10.48550/arxiv.1705.09517 · pith_short_12: M4NGYHATOVVZ · pith_short_16: M4NGYHATOVVZDHHF · pith_short_8: M4NGYHAT

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/M4NGYHATOVVZDHHFX5P3LR6GXN \
  | 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: 671a6c1c13756b919ce5bf5fb5c7c6bb55365002c7fad62dc23b5fe4fb6f4e41

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "349031a7c6ccd7c92e7a1589f63d2e52ac0ae9aef955b1b3722d3cf7743f414e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CC",
    "submitted_at": "2017-05-26T10:38:01Z",
    "title_canon_sha256": "43a17f61e453790b8f1939800138d3c11427c2259a5ada532b7e859efd55dfa8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1705.09517",
    "kind": "arxiv",
    "version": 1
  }
}