Pith Number

pith:JIWZ6LXF

pith:2016:JIWZ6LXFTW6R5Z72OP4MRKBKFA

not attested not anchored not stored refs pending

One-vs-Each Approximation to Softmax for Scalable Estimation of Probabilities

Michalis K. Titsias

arxiv:1609.07410 v2 · 2016-09-23 · stat.ML

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JIWZ6LXFTW6R5Z72OP4MRKBKFA}

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	2026-05-18T01:00:52.453631Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4a2d9f2ee59dbd1ee7fa73f8c8a82a281304353212382c4a08b455f0535896e4

Aliases

arxiv: 1609.07410 · arxiv_version: 1609.07410v2 · doi: 10.48550/arxiv.1609.07410 · pith_short_12: JIWZ6LXFTW6R · pith_short_16: JIWZ6LXFTW6R5Z72 · pith_short_8: JIWZ6LXF

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/JIWZ6LXFTW6R5Z72OP4MRKBKFA \
  | 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: 4a2d9f2ee59dbd1ee7fa73f8c8a82a281304353212382c4a08b455f0535896e4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e3bd4c0dc5803770207bed6c3daf6be6229f69484e640a83968d00b5c9c3e3f7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "stat.ML",
    "submitted_at": "2016-09-23T16:05:53Z",
    "title_canon_sha256": "bc652da82afcf5ba99728ecaa6039226a2cc1c6997fd0aef4b396f5ecbfe11ae"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.07410",
    "kind": "arxiv",
    "version": 2
  }
}