Pith Number

pith:W57A2J2G

pith:2015:W57A2J2GXEFRW3PRXDNTT5IV6I

not attested not anchored not stored refs pending

Nonuniform behavior and stability of Hopfield neural networks with delay

Ant\'onio J. G. Bento, C\'esar M. Silva, Jos\'e J. Oliveira

arxiv:1504.04318 v1 · 2015-04-16 · 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{W57A2J2GXEFRW3PRXDNTT5IV6I}

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	2026-05-18T02:18:33.482568Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b77e0d2746b90b1b6df1b8db39f515f23be071931cca1d62fb15e14387f2bd81

Aliases

arxiv: 1504.04318 · arxiv_version: 1504.04318v1 · doi: 10.48550/arxiv.1504.04318 · pith_short_12: W57A2J2GXEFR · pith_short_16: W57A2J2GXEFRW3PR · pith_short_8: W57A2J2G

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/W57A2J2GXEFRW3PRXDNTT5IV6I \
  | 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: b77e0d2746b90b1b6df1b8db39f515f23be071931cca1d62fb15e14387f2bd81

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d55a9dc920416c508d75e3b79167fb882a2eeeb176d17fbe5b6d54c862855afa",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2015-04-16T17:28:31Z",
    "title_canon_sha256": "2bcae8a225199168c0e3f02a7f1cd46747ba39fce027b036f0af53c98bb3dc90"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.04318",
    "kind": "arxiv",
    "version": 1
  }
}