Pith Number

pith:BEZPZI7H

pith:2024:BEZPZI7HRSD35I2O7DOTO3CQEC

not attested not anchored not stored refs pending

Tropical Expressivity of Neural Networks

Anthea Monod, Paul Lezeau, Shiv Bhatia, Thomas Walker, Yueqi Cao

arxiv:2405.20174 v2 · 2024-05-30 · cs.LG · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BEZPZI7HRSD35I2O7DOTO3CQEC}

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.

Cited by

2 papers in Pith

Detropicalization as a proof technique

Copositive Matrices with Ordered Off-Diagonal Entries

Receipt and verification

First computed	2026-07-05T09:17:42.644152Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0932fca3e78c87bea34ef8dd376c5020a27bd3633fce6f39fcc1c77cb64046be

Aliases

arxiv: 2405.20174 · arxiv_version: 2405.20174v2 · doi: 10.48550/arxiv.2405.20174 · pith_short_12: BEZPZI7HRSD3 · pith_short_16: BEZPZI7HRSD35I2O · pith_short_8: BEZPZI7H

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/BEZPZI7HRSD35I2O7DOTO3CQEC \
  | 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: 0932fca3e78c87bea34ef8dd376c5020a27bd3633fce6f39fcc1c77cb64046be

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "929393b2c06431d620bfe62bd61b610e9c08ea4a7aa876becf5888dc12eaab72",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2024-05-30T15:45:03Z",
    "title_canon_sha256": "79a70366548e20116371336c871e1b643473ab031d413c86c38ddd7385a8dadd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2405.20174",
    "kind": "arxiv",
    "version": 2
  }
}