Pith Number

pith:4C7P5Z7I

pith:2019:4C7P5Z7IOAIW242VIBKTLOAWLB

not attested not anchored not stored refs pending

Embedding and Approximation Theorems for Echo State Networks

Allen G Hart, James L Hook, Jonathan H P Dawes

arxiv:1908.05202 v2 · 2019-08-14 · nlin.CD · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4C7P5Z7IOAIW242VIBKTLOAWLB}

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	2026-07-05T01:03:19.993844Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e0befee7e870116d7355405535b816587c4043e79f8fb798bbabc663149d639e

Aliases

arxiv: 1908.05202 · arxiv_version: 1908.05202v2 · doi: 10.48550/arxiv.1908.05202 · pith_short_12: 4C7P5Z7IOAIW · pith_short_16: 4C7P5Z7IOAIW242V · pith_short_8: 4C7P5Z7I

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/4C7P5Z7IOAIW242VIBKTLOAWLB \
  | 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: e0befee7e870116d7355405535b816587c4043e79f8fb798bbabc663149d639e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f12100a10ce6d81322164c2aeeec9cee9eb593edcefb6b7af1e4ee712770a933",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "nlin.CD",
    "submitted_at": "2019-08-14T16:20:49Z",
    "title_canon_sha256": "2494fb515b5372228681e528546de3e1053fe46d2ced42f79f6ca8359b6e1f78"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.05202",
    "kind": "arxiv",
    "version": 2
  }
}