Pith Number

pith:QYALUGXN

pith:2014:QYALUGXNTZJQYWYQEJIKRIXY2Y

not attested not anchored not stored refs pending

A binary Hopfield network with $1/\log(n)$ information rate and applications to grid cell decoding

David J. Schwab, Ila Fiete, Ngoc M. Tran

arxiv:1407.6029 v1 · 2014-07-22 · q-bio.NC · 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{QYALUGXNTZJQYWYQEJIKRIXY2Y}

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	2026-05-18T02:46:59.290424Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8600ba1aed9e530c5b102250a8a2f8d60a7177390c883cd7bfd1da6331db6300

Aliases

arxiv: 1407.6029 · arxiv_version: 1407.6029v1 · doi: 10.48550/arxiv.1407.6029 · pith_short_12: QYALUGXNTZJQ · pith_short_16: QYALUGXNTZJQYWYQ · pith_short_8: QYALUGXN

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/QYALUGXNTZJQYWYQEJIKRIXY2Y \
  | 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: 8600ba1aed9e530c5b102250a8a2f8d60a7177390c883cd7bfd1da6331db6300

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c0cfe0e2eb0eae8e4c49d39a16cad9c31fff054640e3f2d9d60b182264341d5f",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "q-bio.NC",
    "submitted_at": "2014-07-22T20:32:46Z",
    "title_canon_sha256": "1faec3ed6a0017cfe0946c3f79141f4b57a133389593474d494fcb8036f5bb2a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1407.6029",
    "kind": "arxiv",
    "version": 1
  }
}