Pith Number

pith:ZH5J6XVG

pith:2021:ZH5J6XVGDT72KNKEWE4JOAQ7CZ

not attested not anchored not stored refs pending

Fixed points of nonnegative neural networks

Mateusz Gabor, Renato L. G. Cavalcante, Tomasz J. Piotrowski

arxiv:2106.16239 v9 · 2021-06-30 · stat.ML · 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{ZH5J6XVGDT72KNKEWE4JOAQ7CZ}

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

Random weights of DNNs and emergence of fixed points

Receipt and verification

First computed	2026-07-05T08:32:26.883259Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c9fa9f5ea61cffa53544b13897021f1658cb6332810fd0c8fd282c60e9d1ac79

Aliases

arxiv: 2106.16239 · arxiv_version: 2106.16239v9 · doi: 10.48550/arxiv.2106.16239 · pith_short_12: ZH5J6XVGDT72 · pith_short_16: ZH5J6XVGDT72KNKE · pith_short_8: ZH5J6XVG

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/ZH5J6XVGDT72KNKEWE4JOAQ7CZ \
  | 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: c9fa9f5ea61cffa53544b13897021f1658cb6332810fd0c8fd282c60e9d1ac79

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1d9e7f2c14ec61c7f3495d84abd4424d5dbf032c0e4e8579c574b2e9cddda554",
    "cross_cats_sorted": [
      "cs.LG"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "stat.ML",
    "submitted_at": "2021-06-30T17:49:55Z",
    "title_canon_sha256": "323973daa3cab74b96d625c531b9d92c87c5ac418e203122867ed7449f1b10de"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2106.16239",
    "kind": "arxiv",
    "version": 9
  }
}