Pith Number

pith:VVDVE3WU

pith:2026:VVDVE3WUILF3HOM4TEKPMXDVZJ

not attested not anchored not stored refs pending

Learning Functions of Halfspaces

Josh Alman, Rocco A. Servedio, Shyamal Patel

arxiv:2603.08700 v2 · 2026-03-09 · cs.DS · 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{VVDVE3WUILF3HOM4TEKPMXDVZJ}

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	2026-07-31T01:33:20.751829Z
Builder	pith-number-builder-2026-05-17-v1
Signature	unsigned_v0
Schema	pith-number/v1.0

Canonical hash

ad47526ed442cbb3b99c9914f65c75ca5ec592412deba86afcdd59f377e2c189

Aliases

arxiv: 2603.08700 · arxiv_version: 2603.08700v2 · doi: 10.48550/arxiv.2603.08700 · pith_short_12: VVDVE3WUILF3 · pith_short_16: VVDVE3WUILF3HOM4 · pith_short_8: VVDVE3WU

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/VVDVE3WUILF3HOM4TEKPMXDVZJ \
  | 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: ad47526ed442cbb3b99c9914f65c75ca5ec592412deba86afcdd59f377e2c189

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a35adc52f342405ac20a5bc35c9031d34aa45593566f34c04e49e47fc47b7390",
    "cross_cats_sorted": [
      "cs.CC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2026-03-09T17:57:19Z",
    "title_canon_sha256": "3f1c4d7c6b84c4ffdc941b93f638a538eaffe4b3c552ae575e466b3e10be66eb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2603.08700",
    "kind": "arxiv",
    "version": 2
  }
}