Pith Number

pith:3R5LNVP6

pith:2015:3R5LNVP6MOFEXAFEU4ZOLV5YM7

not attested not anchored not stored refs pending

Why are deep nets reversible: A simple theory, with implications for training

Sanjeev Arora, Tengyu Ma, Yingyu Liang

arxiv:1511.05653 v2 · 2015-11-18 · 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{3R5LNVP6MOFEXAFEU4ZOLV5YM7}

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	2026-05-18T01:26:24.645912Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dc7ab6d5fe638a4b80a4a732e5d7b867e0781585b18b22ca173530df10822321

Aliases

arxiv: 1511.05653 · arxiv_version: 1511.05653v2 · doi: 10.48550/arxiv.1511.05653 · pith_short_12: 3R5LNVP6MOFE · pith_short_16: 3R5LNVP6MOFEXAFE · pith_short_8: 3R5LNVP6

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/3R5LNVP6MOFEXAFEU4ZOLV5YM7 \
  | 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: dc7ab6d5fe638a4b80a4a732e5d7b867e0781585b18b22ca173530df10822321

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "baf91d4aae1501b962c7e6a17a6e0fc4bf030cc879c97c0252d831443ca50efb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2015-11-18T04:33:09Z",
    "title_canon_sha256": "84b1d16bf1c85ec6c2b715222dc16d7305a12904b73003a77e8a9b2ae89556d0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.05653",
    "kind": "arxiv",
    "version": 2
  }
}