Pith Number

pith:VNJSRWZC

pith:2024:VNJSRWZCTHWCJZXZUY4NYFRQGV

not attested not anchored not stored refs pending

On Functional Dimension and Persistent Pseudodimension

J. Elisenda Grigsby, Kathryn Lindsey

arxiv:2410.17191 v2 · 2024-10-22 · cs.LG · math.AG · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VNJSRWZCTHWCJZXZUY4NYFRQGV}

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

1 paper in Pith

Most ReLU Networks Admit Identifiable Parameters

Receipt and verification

First computed	2026-07-05T09:45:15.659823Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ab5328db2299ec24e6f9a638dc1630354be3d891ed20811ea97baf8756ded320

Aliases

arxiv: 2410.17191 · arxiv_version: 2410.17191v2 · doi: 10.48550/arxiv.2410.17191 · pith_short_12: VNJSRWZCTHWC · pith_short_16: VNJSRWZCTHWCJZXZ · pith_short_8: VNJSRWZC

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/VNJSRWZCTHWCJZXZUY4NYFRQGV \
  | 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: ab5328db2299ec24e6f9a638dc1630354be3d891ed20811ea97baf8756ded320

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "412e134db04b126de8a6a4f484471ee643bf6eb8d5f6f047dd78279fabea08cb",
    "cross_cats_sorted": [
      "math.AG",
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2024-10-22T17:12:21Z",
    "title_canon_sha256": "016f3cfa07e4f1aa3e89e9a01fff45090926f83d1949c0eb227c0fac86c691f9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2410.17191",
    "kind": "arxiv",
    "version": 2
  }
}