Pith Number

pith:3RAYLEQX

pith:2025:3RAYLEQXDC5RI3BHFY4QTXQXNP

not attested not anchored not stored refs pending

Optimal control of the Poisson equation with transport regularization: Properties of optimal transport plans and transport map

Christian Meyer, Gerd Wachsmuth

arxiv:2506.02808 v1 · 2025-06-03 · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3RAYLEQXDC5RI3BHFY4QTXQXNP}

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.

Receipt and verification

First computed	2026-07-05T11:15:09.578882Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dc4185921718bb146c272e3909de176bf32a928542b1fffa0b8ddeac1642759a

Aliases

arxiv: 2506.02808 · arxiv_version: 2506.02808v1 · doi: 10.48550/arxiv.2506.02808 · pith_short_12: 3RAYLEQXDC5R · pith_short_16: 3RAYLEQXDC5RI3BH · pith_short_8: 3RAYLEQX

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/3RAYLEQXDC5RI3BHFY4QTXQXNP \
  | 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: dc4185921718bb146c272e3909de176bf32a928542b1fffa0b8ddeac1642759a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3f683a9ca0b4995b4f3687d5042bbdf190be3ed049973e269f88c4d250a550f5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2025-06-03T12:36:36Z",
    "title_canon_sha256": "07a0f970baee1211e31cf6c76c4b37910d76ed35663f73c003acfb86d3796ec0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.02808",
    "kind": "arxiv",
    "version": 1
  }
}