Pith Number

pith:UQQVRAHC

pith:2016:UQQVRAHCPSCGF74W3FMFLRQHKA

not attested not anchored not stored refs pending

Efficient softmax approximation for GPUs

Armand Joulin, David Grangier, Edouard Grave, Herv\'e J\'egou, Moustapha Ciss\'e

arxiv:1609.04309 v3 · 2016-09-14 · cs.CL · cs.LG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UQQVRAHCPSCGF74W3FMFLRQHKA}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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

1 paper in Pith

Compressive Transformers for Long-Range Sequence Modelling

Receipt and verification

First computed	2026-05-18T00:42:12.780415Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a4215880e27c8462ff96d95855c6075038cc94ea7d27ab28179740f459e74546

Aliases

arxiv: 1609.04309 · arxiv_version: 1609.04309v3 · doi: 10.48550/arxiv.1609.04309 · pith_short_12: UQQVRAHCPSCG · pith_short_16: UQQVRAHCPSCGF74W · pith_short_8: UQQVRAHC

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/UQQVRAHCPSCGF74W3FMFLRQHKA \
  | 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: a4215880e27c8462ff96d95855c6075038cc94ea7d27ab28179740f459e74546

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "38a875c2f8a1150cd0c4ebbea964309ab56ac8e7b1ca32b64d66c3c13b9ab7d7",
    "cross_cats_sorted": [
      "cs.LG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CL",
    "submitted_at": "2016-09-14T15:15:08Z",
    "title_canon_sha256": "95cc169a503b4383ffe5a16d62bf5dfcbab8f4f8831567d8519d3f5c97fa5962"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.04309",
    "kind": "arxiv",
    "version": 3
  }
}