Pith Number

pith:MO4FZYI3

pith:2025:MO4FZYI3TE33YY36EWOCU2Y64O

not attested not anchored not stored refs pending

Yet another exponential Hopfield model

Adriano Barra, Andrea Alessandrelli, Linda Albanese, Peter Sollich

arxiv:2509.06905 v1 · 2025-09-08 · cond-mat.dis-nn

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MO4FZYI3TE33YY36EWOCU2Y64O}

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	2026-07-05T12:06:54.822804Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

63b85ce11b9937bc637e259c2a6b1ee39b05e95ff2792ccdcab24f86c3886c0e

Aliases

arxiv: 2509.06905 · arxiv_version: 2509.06905v1 · doi: 10.48550/arxiv.2509.06905 · pith_short_12: MO4FZYI3TE33 · pith_short_16: MO4FZYI3TE33YY36 · pith_short_8: MO4FZYI3

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/MO4FZYI3TE33YY36EWOCU2Y64O \
  | 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: 63b85ce11b9937bc637e259c2a6b1ee39b05e95ff2792ccdcab24f86c3886c0e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "160ecf08a88cbccc06388bf030b0854e7403516135c3815b1238e43c05c5e359",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cond-mat.dis-nn",
    "submitted_at": "2025-09-08T17:23:17Z",
    "title_canon_sha256": "6d3ff06c548acfb7f29874d6eea424cbfe1c49723050eee19165ebe771638686"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2509.06905",
    "kind": "arxiv",
    "version": 1
  }
}