Pith Number

pith:LC5H23AL

pith:2013:LC5H23AL54FWMFJCPLM6LPJLTM

not attested not anchored not stored refs pending

Storing Cycles in Hopfield-type Networks with Pseudoinverse Learning Rule - Retrievability and Bifurcation Analysis

Chuan Zhang, Gerhard Dangelmayr, Iuliana Oprea

arxiv:1308.5201 v5 · 2013-08-23 · 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{LC5H23AL54FWMFJCPLM6LPJLTM}

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	2026-05-18T02:44:47.747632Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

58ba7d6c0bef0b6615227ad9e5bd2b9b23956ffbf66315a01419890d0406f52e

Aliases

arxiv: 1308.5201 · arxiv_version: 1308.5201v5 · doi: 10.48550/arxiv.1308.5201 · pith_short_12: LC5H23AL54FW · pith_short_16: LC5H23AL54FWMFJC · pith_short_8: LC5H23AL

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/LC5H23AL54FWMFJCPLM6LPJLTM \
  | 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: 58ba7d6c0bef0b6615227ad9e5bd2b9b23956ffbf66315a01419890d0406f52e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "166b4e13fb8c6613b63c4a0cbb7119abbfe79d377d81cfb2531456d1b85a6fdd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2013-08-23T18:38:00Z",
    "title_canon_sha256": "ef51424026e00239017de6110d0bd1b1551cb8f7c772d46b6a34ad3943d2ddf5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.5201",
    "kind": "arxiv",
    "version": 5
  }
}