Pith Number

pith:LJVZK77D

pith:2023:LJVZK77DPJ6BLB5UGEC5X6M4KW

not attested not anchored not stored refs pending

Complex Critical Points of Deep Linear Neural Networks

Ayush Bharadwaj, Serkan Ho\c{s}ten

arxiv:2301.12651 v1 · 2023-01-30 · math.AG · cs.LG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LJVZK77DPJ6BLB5UGEC5X6M4KW}

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	2026-07-05T05:36:56.186302Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5a6b957fe37a7c1587b43105dbf99c559c4cfd8844733c378fcdec47ba326e1e

Aliases

arxiv: 2301.12651 · arxiv_version: 2301.12651v1 · doi: 10.48550/arxiv.2301.12651 · pith_short_12: LJVZK77DPJ6B · pith_short_16: LJVZK77DPJ6BLB5U · pith_short_8: LJVZK77D

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/LJVZK77DPJ6BLB5UGEC5X6M4KW \
  | 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: 5a6b957fe37a7c1587b43105dbf99c559c4cfd8844733c378fcdec47ba326e1e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e8f5d23992a659234be361357c2591e7af496f8a88e7363041bb805f9267b773",
    "cross_cats_sorted": [
      "cs.LG"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2023-01-30T04:16:49Z",
    "title_canon_sha256": "324e06ed85c404d685afdc26c6eb8d2e2ea4407c0bdbc6ac6dcaa35aa1a610e6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2301.12651",
    "kind": "arxiv",
    "version": 1
  }
}