Pith Number

pith:D3UCUURZ

pith:2018:D3UCUURZVV6JMY7KS4QQ6NT5KV

not attested not anchored not stored refs pending

Optimal Transport with Controlled Dynamics and Free End Times

Aaron Zeff Palmer, Nassif Ghoussoub, Young-Heon Kim

arxiv:1803.10874 v2 · 2018-03-28 · math.OC · 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{D3UCUURZVV6JMY7KS4QQ6NT5KV}

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	2026-05-18T00:11:23.385641Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1ee82a5239ad7c9663ea97210f367d5545652499d68f77880698102c4c1675db

Aliases

arxiv: 1803.10874 · arxiv_version: 1803.10874v2 · doi: 10.48550/arxiv.1803.10874 · pith_short_12: D3UCUURZVV6J · pith_short_16: D3UCUURZVV6JMY7K · pith_short_8: D3UCUURZ

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/D3UCUURZVV6JMY7KS4QQ6NT5KV \
  | 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: 1ee82a5239ad7c9663ea97210f367d5545652499d68f77880698102c4c1675db

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0faf4ffc10b1ee66a65f8c939fe1430b64a16d46d5d2ca9678c34e225e69e62f",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2018-03-28T23:06:52Z",
    "title_canon_sha256": "2016cdd71f97478c062010ccf694d6754c102e476c7d44d9321f870c3f4c1844"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1803.10874",
    "kind": "arxiv",
    "version": 2
  }
}