Pith Number

pith:RYGHIOZP

pith:2019:RYGHIOZPQFMAQ55RBNB73Q4POT

not attested not anchored not stored refs pending

Hopfield Neural Network Flow: A Geometric Viewpoint

Abhishek Halder, Bertrand Travacca, Kenneth F. Caluya, Scott J. Moura

arxiv:1908.01270 v2 · 2019-08-04 · math.OC · cs.LG · cs.NE

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RYGHIOZPQFMAQ55RBNB73Q4POT}

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	2026-07-05T00:19:09.901735Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8e0c743b2f81580877b10b43fdc38f74f43c6d43ae337d0ff81f2f270f64934b

Aliases

arxiv: 1908.01270 · arxiv_version: 1908.01270v2 · doi: 10.48550/arxiv.1908.01270 · pith_short_12: RYGHIOZPQFMA · pith_short_16: RYGHIOZPQFMAQ55R · pith_short_8: RYGHIOZP

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/RYGHIOZPQFMAQ55RBNB73Q4POT \
  | 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: 8e0c743b2f81580877b10b43fdc38f74f43c6d43ae337d0ff81f2f270f64934b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ae95736ce06e38df6927299abc166661feb114b1b14fc3ac2a5d186de4e32777",
    "cross_cats_sorted": [
      "cs.LG",
      "cs.NE"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2019-08-04T04:23:36Z",
    "title_canon_sha256": "cd0f445739e00a8d035c8195af9b6f8dbcaf56a4923c293b4c9c6d6633c42dba"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.01270",
    "kind": "arxiv",
    "version": 2
  }
}