Pith Number

pith:QDXR3GY6

pith:2021:QDXR3GY63F3GK5HKGMBDR3S7WQ

not attested not anchored not stored refs pending

Neural Monge Map estimation and its applications

Haomin Zhou, Jiaojiao Fan, Shaojun Ma, Shu Liu, Yongxin Chen

arxiv:2106.03812 v3 · 2021-06-07 · cs.LG · math.OC

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QDXR3GY63F3GK5HKGMBDR3S7WQ}

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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

Stability of the Monge Map in Semi-Dual Optimal Transport

Receipt and verification

First computed	2026-07-05T05:17:23.651301Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

80ef1d9b1ed9766574ea330238ee5fb410608680336f883c13f62847a454759a

Aliases

arxiv: 2106.03812 · arxiv_version: 2106.03812v3 · doi: 10.48550/arxiv.2106.03812 · pith_short_12: QDXR3GY63F3G · pith_short_16: QDXR3GY63F3GK5HK · pith_short_8: QDXR3GY6

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/QDXR3GY63F3GK5HKGMBDR3S7WQ \
  | 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: 80ef1d9b1ed9766574ea330238ee5fb410608680336f883c13f62847a454759a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4ca89934b2e631edf56ba7229965527e93ac8ece4e8b3a09d06dc7d3996b25f4",
    "cross_cats_sorted": [
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2021-06-07T17:23:24Z",
    "title_canon_sha256": "708e9084f4912bc866bc5dc8e1fb3f32c4f4bb03dfc28db41ad6442b201e933b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2106.03812",
    "kind": "arxiv",
    "version": 3
  }
}