Pith Number

pith:QYGNPEOT

pith:2026:QYGNPEOTWIFZJTZ6R43NU2WYT6

not attested not anchored not stored refs pending

Dynamical Optimal Transport with $\mathfrak{so}(d)$-Invariance: From Theory to Computation

Johannes Storn, Kevine Meugang Toukam, Max von Renesse

arxiv:2607.16782 v1 · 2026-07-18 · 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{QYGNPEOTWIFZJTZ6R43NU2WYT6}

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	2026-07-21T01:20:58.775097Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

860cd791d3b20b94cf3e8f36da6ad89fbd3fd407e0ff9719bc9079371c15adcf

Aliases

arxiv: 2607.16782 · arxiv_version: 2607.16782v1 · doi: 10.48550/arxiv.2607.16782 · pith_short_12: QYGNPEOTWIFZ · pith_short_16: QYGNPEOTWIFZJTZ6 · pith_short_8: QYGNPEOT

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/QYGNPEOTWIFZJTZ6R43NU2WYT6 \
  | 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: 860cd791d3b20b94cf3e8f36da6ad89fbd3fd407e0ff9719bc9079371c15adcf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e02e0b3123fe6309a0fb6900dd57ee22a4dfcf89a3582e6556b8bd503951c507",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2026-07-18T11:33:15Z",
    "title_canon_sha256": "03ebb696f5892eb1f4e12877534ab7994d14442a117904a8ca850b6bc7b82ee6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.16782",
    "kind": "arxiv",
    "version": 1
  }
}