Pith Number

pith:GFME6E7N

pith:2021:GFME6E7NK5JVHEIHQI4Z2KJFZE

not attested not anchored not stored refs pending

Wasserstein Generative Learning of Conditional Distribution

Jian Huang, Shiao Liu, Xingyu Zhou, Yuling Jiao

arxiv:2112.10039 v1 · 2021-12-19 · cs.LG · math.ST · stat.TH

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GFME6E7NK5JVHEIHQI4Z2KJFZE}

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

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Receipt and verification

First computed	2026-07-05T03:42:10.490556Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

31584f13ed575353910782399d2925c934d2049747735651e1051273f6265389

Aliases

arxiv: 2112.10039 · arxiv_version: 2112.10039v1 · doi: 10.48550/arxiv.2112.10039 · pith_short_12: GFME6E7NK5JV · pith_short_16: GFME6E7NK5JVHEIH · pith_short_8: GFME6E7N

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/GFME6E7NK5JVHEIHQI4Z2KJFZE \
  | 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: 31584f13ed575353910782399d2925c934d2049747735651e1051273f6265389

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6c678018edbf6fc058744f29a2609c4df8bcb3f4d1f9ab3164c6ffe22fd7a1e3",
    "cross_cats_sorted": [
      "math.ST",
      "stat.TH"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2021-12-19T01:55:01Z",
    "title_canon_sha256": "2557a2b1d1f17cfe973ea2df4cafeb47603e3cdb71ae23a8a9b61ba1ae072845"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2112.10039",
    "kind": "arxiv",
    "version": 1
  }
}