Pith Number

pith:6M2HJEXF

pith:2026:6M2HJEXFM4BP7QG7OISFKCVSQT

not attested not anchored not stored refs pending

Shortcomings and capacities of real-constrained neural networks in complex spaces

Andrew Gracyk

arxiv:2606.04390 v1 · 2026-06-03 · cs.LG · cond-mat.dis-nn · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6M2HJEXFM4BP7QG7OISFKCVSQT}

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	2026-06-04T01:09:06.272761Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f3347492e56702ffc0df7224550ab284e5a38271cbd6206c6ff6af7b07c89eea

Aliases

arxiv: 2606.04390 · arxiv_version: 2606.04390v1 · doi: 10.48550/arxiv.2606.04390 · pith_short_12: 6M2HJEXFM4BP · pith_short_16: 6M2HJEXFM4BP7QG7 · pith_short_8: 6M2HJEXF

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/6M2HJEXFM4BP7QG7OISFKCVSQT \
  | 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: f3347492e56702ffc0df7224550ab284e5a38271cbd6206c6ff6af7b07c89eea

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5c10a9a099a78342201e659f78d90448c9f99c651c038f77018cffad08447f54",
    "cross_cats_sorted": [
      "cond-mat.dis-nn",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-06-03T03:11:03Z",
    "title_canon_sha256": "b2704d8db81a2718ffe0bdf6cc9778d2472f4739be4beedea517db9c10614b48"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.04390",
    "kind": "arxiv",
    "version": 1
  }
}