Pith Number

pith:UFZE2HHM

pith:2026:UFZE2HHMRE7PS45TCBWFOAOCWL

not attested not anchored not stored refs pending

Analysis of the Hopfield Model Incorporating the Effects of Unlearning

Shuta Takeuchi, Takashi Takahashi, Yoshiyuki Kabashima

arxiv:2602.08428 v2 · 2026-02-09 · cond-mat.dis-nn · cond-mat.stat-mech

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UFZE2HHMRE7PS45TCBWFOAOCWL}

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.

Cited by

1 paper in Pith

Daydreaming algorithm for Biased Patterns

Receipt and verification

First computed	2026-06-19T16:09:54.622015Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a1724d1cec893ef973b3106c5701c2b2fae6c4a5574db715fb50e40305ef4513

Aliases

arxiv: 2602.08428 · arxiv_version: 2602.08428v2 · doi: 10.48550/arxiv.2602.08428 · pith_short_12: UFZE2HHMRE7P · pith_short_16: UFZE2HHMRE7PS45T · pith_short_8: UFZE2HHM

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/UFZE2HHMRE7PS45TCBWFOAOCWL \
  | 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: a1724d1cec893ef973b3106c5701c2b2fae6c4a5574db715fb50e40305ef4513

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "38a4dc5e7660494cfc95562c8c7d80ba4f6c423a7f6b94cf27d8292d661e15b8",
    "cross_cats_sorted": [
      "cond-mat.stat-mech"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cond-mat.dis-nn",
    "submitted_at": "2026-02-09T09:33:16Z",
    "title_canon_sha256": "aa13528d300bfc97e9513b3c84da3e4cc3ee5187aed4e3dbc46799227a041e5a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2602.08428",
    "kind": "arxiv",
    "version": 2
  }
}