Pith Number

pith:Q2HTJEC3

pith:2016:Q2HTJEC34NC54MFDJDVCRYYVSD

not attested not anchored not stored refs pending

Theano: A Python framework for fast computation of mathematical expressions

Aaron Courville, Adriana Romero, Alberto Orlandi, Alexander Belopolsky, Alexandre de Br\'ebisson, Alex Lamb, Amjad Almahairi, Anatoly Belikov, Arjun Jain, Arnaud Bergeron, Bal\'azs Hidasi, Bart van Merri\"enboer, Caglar Gulcehre, C\'esar Laurent, Christof Angermueller, Christopher Pal, Colin Raffel, Cory Lorenz, Daniel Renshaw, David Warde-Farley, Dmitriy Serdyuk, Dumitru Erhan, Dustin J. Webb, Dzmitry Bahdanau, Eric Larsen, \'Etienne Simon, Fran\c{c}ois Savard, Francesco Visin, Fr\'ed\'eric Bastien, Gabriel Schwartz, Gijs van Tulder, Guillaume Alain, Guillaume Desjardins, Harm de Vries, Ian Goodfellow, Iban Harlouchet, Iulian Vlad Serban, Jakub Sygnowski, James Bergstra, Jan Chorowski, Jan Schl\"uter, Jean-Philippe Heng, Jeremiah Lowin, J\'er\'emie Tanguay, Jesse A. Livezey, John Salvatier, John Schulman, Joseph Turian, Josh Bleecher Snyder, Julien Demouth, Justin Bayer, Kai Jia, Kelvin Xu, Kyunghyun Cho, Laurent Dinh, Lijun Xue, Li Yao, Marc-Alexandre C\^ot\'e, Markus Roth, Mathieu Germain, Matt Graham, Matthew Rocklin, Matthew Willson, Mehdi Mirza, M\'elanie Ducoffe, Mikhail Korobov, Mohammad Pezeshki, Myriam C\^ot\'e, Nicholas L\'eonard, Nicolas Ballas, Nicolas Bouchard, Nicolas Boulanger-Lewandowski, Olivier Breuleux, Olivier Delalleau, Olivier Mastropietro, Orhan Firat, Pascal Lamblin, Pascal Vincent, Paul Christiano, Peter Sadowski, Philippe Hamel, Pierre-Antoine Manzagol, Pierre-Luc Carrier, Qianli Ma, Razvan Pascanu, Robert T. McGibbon, Roland Memisevic, Saizheng Zhang, Samira Ebrahimi Kahou, Samira Shabanian, Sander Dieleman, Sean Lee, Sebastian Urban, S\'ebastien Jean, Sigurd Spieckermann, Simon Lefrancois, Simon Lemieux, Sina Honari, S. Ramana Subramanyam, The Theano Development Team: Rami Al-Rfou, Tim Cooijmans, Valentin Bisson, Vincent Dumoulin, Vincent Michalski, Vivek Kulkarni, Xavier Bouthillier, Xavier Glorot, Yann N. Dauphin, Ying Zhang, Yoshua Bengio, Zhouhan Lin, Ziye Fan

arxiv:1605.02688 v1 · 2016-05-09 · cs.SC · cs.LG · cs.MS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Q2HTJEC34NC54MFDJDVCRYYVSD}

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

3 papers in Pith

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Receipt and verification

First computed	2026-05-18T01:15:15.809493Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

868f34905be345de30a348ea28e31590df7768451e9ac3c077d8fccdd02f0880

Aliases

arxiv: 1605.02688 · arxiv_version: 1605.02688v1 · doi: 10.48550/arxiv.1605.02688 · pith_short_12: Q2HTJEC34NC5 · pith_short_16: Q2HTJEC34NC54MFD · pith_short_8: Q2HTJEC3

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/Q2HTJEC34NC54MFDJDVCRYYVSD \
  | 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: 868f34905be345de30a348ea28e31590df7768451e9ac3c077d8fccdd02f0880

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f84d42bbfe3f41b9e2cfb82bb8accef35103d57fd91bd7bf2961abcd0bb77ff7",
    "cross_cats_sorted": [
      "cs.LG",
      "cs.MS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.SC",
    "submitted_at": "2016-05-09T18:32:34Z",
    "title_canon_sha256": "f3c013b84a1ead18547261c2d59c393260208356ce9d20c9c80d12c4c327fa85"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.02688",
    "kind": "arxiv",
    "version": 1
  }
}