Pith Number

pith:E5FDQDDQ

pith:2026:E5FDQDDQJRX6FSZOKUUUUS2DX3

not attested not anchored not stored refs pending

Contravariance Theory: Strong Alignment for Minimal Solutions to Hard Tasks

Aran Nayebi, Dan Yamins

arxiv:2607.08561 v1 · 2026-07-09 · cs.LG · q-bio.NC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{E5FDQDDQJRX6FSZOKUUUUS2DX3}

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	2026-07-10T01:19:53.670811Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

274a380c704c6fe2cb2e55294a4b43bee805614cde70a0d160c21275ce15813b

Aliases

arxiv: 2607.08561 · arxiv_version: 2607.08561v1 · doi: 10.48550/arxiv.2607.08561 · pith_short_12: E5FDQDDQJRX6 · pith_short_16: E5FDQDDQJRX6FSZO · pith_short_8: E5FDQDDQ

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/E5FDQDDQJRX6FSZOKUUUUS2DX3 \
  | 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: 274a380c704c6fe2cb2e55294a4b43bee805614cde70a0d160c21275ce15813b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bd418d5bd0dd34f828d0ab8a7f2b3aa230a42b4dcd17214462d25d7afc06af67",
    "cross_cats_sorted": [
      "q-bio.NC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-07-09T14:53:54Z",
    "title_canon_sha256": "9c1819b3f54e95ab619463a08ec10017120ed385c36fe793968c643863501f9f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.08561",
    "kind": "arxiv",
    "version": 1
  }
}