Pith Number

pith:LYLMVDZ4

pith:2019:LYLMVDZ4CQWZOZF5BU7LZSY6ZE

not attested not anchored not stored refs pending

Optimal Controlled Transports with Free End Times Subject to Import/Export Tariffs

Aaron Zeff Palmer, Nassif Ghoussoub, Samer Dweik

arxiv:1903.02126 v1 · 2019-03-06 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LYLMVDZ4CQWZOZF5BU7LZSY6ZE}

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	2026-05-17T23:51:56.650424Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5e16ca8f3c142d9764bd0d3ebccb1ec900efe6ad09de674975291cc8e0fa6435

Aliases

arxiv: 1903.02126 · arxiv_version: 1903.02126v1 · doi: 10.48550/arxiv.1903.02126 · pith_short_12: LYLMVDZ4CQWZ · pith_short_16: LYLMVDZ4CQWZOZF5 · pith_short_8: LYLMVDZ4

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/LYLMVDZ4CQWZOZF5BU7LZSY6ZE \
  | 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: 5e16ca8f3c142d9764bd0d3ebccb1ec900efe6ad09de674975291cc8e0fa6435

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6a8bc637e59c58b4f4da7227cb93c3f1f60892365e16f640426d2a2484ba367f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2019-03-06T00:26:22Z",
    "title_canon_sha256": "9f356f6a1f0e7d83d77caadbef0c2b07d3019b89e1e826fe555a6f825ba49eb2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1903.02126",
    "kind": "arxiv",
    "version": 1
  }
}