Pith Number

pith:PII57GRJ

pith:2015:PII57GRJPVDSMJD5C6UTPE46IZ

not attested not anchored not stored refs pending

Global Convergence of Analytic Neural Networks with Event-triggered Synaptic Feedbacks

Ren Zheng, Tianping Chen, Wenlian Lu, Xinlei Yi

arxiv:1504.08081 v1 · 2015-04-30 · nlin.AO · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PII57GRJPVDSMJD5C6UTPE46IZ}

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	2026-05-18T02:17:23.383133Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7a11df9a297d4726247d17a937939e466b6e11730a7d1d166bd15d5e9563b5b3

Aliases

arxiv: 1504.08081 · arxiv_version: 1504.08081v1 · doi: 10.48550/arxiv.1504.08081 · pith_short_12: PII57GRJPVDS · pith_short_16: PII57GRJPVDSMJD5 · pith_short_8: PII57GRJ

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/PII57GRJPVDSMJD5C6UTPE46IZ \
  | 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: 7a11df9a297d4726247d17a937939e466b6e11730a7d1d166bd15d5e9563b5b3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "262f3a7052395e1088522cc1c6b3ca152c53057e9ae13421d39e3128dd1f5064",
    "cross_cats_sorted": [
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "nlin.AO",
    "submitted_at": "2015-04-30T04:55:53Z",
    "title_canon_sha256": "e603f4b720ff06bbb83bfb8ddbc4e80c6a561d3f983a117d5b31aa5d8f10e255"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.08081",
    "kind": "arxiv",
    "version": 1
  }
}