Pith Number

pith:WTM4U5SU

pith:2023:WTM4U5SUHAE3TVLYXS2Y7R2TVP

not attested not anchored not stored refs pending

Singularities of the solution to a Monge--Amp\`ere equation on the boundary of the 3-simplex

Benjamin W. Scott, Mattias Jonsson, Neil Patram, Nicholas McCleerey

arxiv:2309.15263 v1 · 2023-09-26 · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WTM4U5SUHAE3TVLYXS2Y7R2TVP}

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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

1 paper in Pith

Boundary regularity of optimal transport maps on convex domains

Receipt and verification

First computed	2026-07-05T06:54:43.571878Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b4d9ca76543809b9d578bcb58fc753abe1c85003b9c5d76d05f703bb647340c9

Aliases

arxiv: 2309.15263 · arxiv_version: 2309.15263v1 · doi: 10.48550/arxiv.2309.15263 · pith_short_12: WTM4U5SUHAE3 · pith_short_16: WTM4U5SUHAE3TVLY · pith_short_8: WTM4U5SU

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/WTM4U5SUHAE3TVLYXS2Y7R2TVP \
  | 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: b4d9ca76543809b9d578bcb58fc753abe1c85003b9c5d76d05f703bb647340c9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b7abb1c615837f12597ad0aab5084f7b7759696dee777ced498ec1d951b27f8a",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2023-09-26T20:46:40Z",
    "title_canon_sha256": "622112f1981f922112b470e83cf87a83dcf93d872db93e0a925e59698c6e90fc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2309.15263",
    "kind": "arxiv",
    "version": 1
  }
}