Pith Number

pith:JOXRP5OV

pith:2015:JOXRP5OVY3ETVDXUTWEVSYTA4J

not attested not anchored not stored refs pending

Global Exponential Stability for Complex-Valued Recurrent Neural Networks With Asynchronous Time Delays

Tianping Chen, Xiwei Liu

arxiv:1505.07903 v1 · 2015-05-29 · 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{JOXRP5OVY3ETVDXUTWEVSYTA4J}

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	2026-05-18T02:00:00.363180Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4baf17f5d5c6c93a8ef49d89596260e26b8a5848a8f27ced935fb698f868b3ec

Aliases

arxiv: 1505.07903 · arxiv_version: 1505.07903v1 · doi: 10.48550/arxiv.1505.07903 · pith_short_12: JOXRP5OVY3ET · pith_short_16: JOXRP5OVY3ETVDXU · pith_short_8: JOXRP5OV

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/JOXRP5OVY3ETVDXUTWEVSYTA4J \
  | 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: 4baf17f5d5c6c93a8ef49d89596260e26b8a5848a8f27ced935fb698f868b3ec

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6998ae61879393f9d208a49981fc1e8ba22f149cc9276dbd3052269e701eda55",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2015-05-29T01:42:18Z",
    "title_canon_sha256": "65274de1c591228656f213180d0a3b899393bfb882dfa9df808d84bca4679f7d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.07903",
    "kind": "arxiv",
    "version": 1
  }
}