Pith Number

pith:BA6IQZ6Y

pith:2019:BA6IQZ6YOJXYPP5QPEAJAAIZXT

not attested not anchored not stored refs pending

The meanfield limit of a network of Hopfield neurons with correlated synaptic weights

Etienne Tanre, James MacLaurin, Olivier Faugeras

arxiv:1901.10248 v2 · 2019-01-29 · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BA6IQZ6YOJXYPP5QPEAJAAIZXT}

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	2026-05-17T23:46:29.002653Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

083c8867d8726f87bfb07900900119bcd7d7f6f73f1145ea21a20b4e6153eb00

Aliases

arxiv: 1901.10248 · arxiv_version: 1901.10248v2 · doi: 10.48550/arxiv.1901.10248 · pith_short_12: BA6IQZ6YOJXY · pith_short_16: BA6IQZ6YOJXYPP5Q · pith_short_8: BA6IQZ6Y

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/BA6IQZ6YOJXYPP5QPEAJAAIZXT \
  | 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: 083c8867d8726f87bfb07900900119bcd7d7f6f73f1145ea21a20b4e6153eb00

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eda003eaa02c2172698ab396888fb6ade011b11b44d54a750b313d060351c676",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2019-01-29T12:25:19Z",
    "title_canon_sha256": "92b0b22856c90473d53d49364d98acae5e752deecc17300749b9efe3dbc85ba0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1901.10248",
    "kind": "arxiv",
    "version": 2
  }
}