Pith Number

pith:RI6SW7VV

pith:2013:RI6SW7VVDOTSBMRU4YRJDW2IVM

not attested not anchored not stored refs pending

Variational Principles for Minkowski Type Problems, Discrete Optimal Transport, and Discrete Monge-Ampere Equations

Feng Luo, Jian Sun, S.-T. Yau, Xianfeng Gu

arxiv:1302.5472 v1 · 2013-02-22 · math.GT · math.DG · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RI6SW7VVDOTSBMRU4YRJDW2IVM}

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

1 paper in Pith

Statistical Estimation of Monge Transport Maps via Brenier Potentials

Receipt and verification

First computed	2026-05-18T03:32:46.763714Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8a3d2b7eb51ba720b234e62291db48ab180245e3100ed65c2ce04fff2f4d5ca7

Aliases

arxiv: 1302.5472 · arxiv_version: 1302.5472v1 · doi: 10.48550/arxiv.1302.5472 · pith_short_12: RI6SW7VVDOTS · pith_short_16: RI6SW7VVDOTSBMRU · pith_short_8: RI6SW7VV

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/RI6SW7VVDOTSBMRU4YRJDW2IVM \
  | 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: 8a3d2b7eb51ba720b234e62291db48ab180245e3100ed65c2ce04fff2f4d5ca7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e70c0e6820b4bfca5fef204f691d789390d8e7ff171563ec6e0ba9faf8d5eaa3",
    "cross_cats_sorted": [
      "math.DG",
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2013-02-22T03:42:28Z",
    "title_canon_sha256": "997ffe0bb2da7667bd7648b6362858759ed109ac9f11fb95adfd398cc63db4be"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.5472",
    "kind": "arxiv",
    "version": 1
  }
}