Pith Number

pith:TVVC6FN5

pith:2025:TVVC6FN57N3552UQBTXKJADKCH

not attested not anchored not stored refs pending

Boundary regularity of optimal transport maps on convex domains

Freid Tong, Tristan C. Collins

arxiv:2507.05395 v1 · 2025-07-07 · math.AP · math.DG

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\usepackage{pith}
\pithnumber{TVVC6FN57N3552UQBTXKJADKCH}

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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

4 papers in Pith

Solutions to Monge-Amp\`ere Equations with Low Codimensional singularities

Stability of optimal transport maps and second variation of the 2-Monge-Kantorovich distance

Solutions to Monge-Amp\`ere Equations with Low Codimensional singularities

Optimizing Computational-Statistical Runtime for Wasserstein Distance Estimation

Receipt and verification

First computed	2026-07-05T11:33:29.746080Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9d6a2f15bdfb77deea900ceea4806a11ca8b98d102350305b69406b6a485d472

Aliases

arxiv: 2507.05395 · arxiv_version: 2507.05395v1 · doi: 10.48550/arxiv.2507.05395 · pith_short_12: TVVC6FN57N35 · pith_short_16: TVVC6FN57N3552UQ · pith_short_8: TVVC6FN5

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/TVVC6FN57N3552UQBTXKJADKCH \
  | 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: 9d6a2f15bdfb77deea900ceea4806a11ca8b98d102350305b69406b6a485d472

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "748c4f0394f1df3305c391c637dba8fc85aa7b11a509394f880593dfedc89d8b",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2025-07-07T18:29:24Z",
    "title_canon_sha256": "75a155b4d8763245393d62ff3ec76e08ca948b2c6ef62358642c867aaeec903a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.05395",
    "kind": "arxiv",
    "version": 1
  }
}