Pith Number

pith:MSUT5QPP

pith:2026:MSUT5QPPCX2CIRQOORVGQZ4N2T

not attested not anchored not stored refs pending

Local optimization of weak distance between compact surfaces on special Euclidean group

Kazuki Koga

arxiv:2606.07440 v1 · 2026-06-05 · 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{MSUT5QPPCX2CIRQOORVGQZ4N2T}

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	2026-06-08T01:05:27.206382Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

64a93ec1ef15f424460e746a68678dd4dea2e451ee1b2467fe19bfe1a8536594

Aliases

arxiv: 2606.07440 · arxiv_version: 2606.07440v1 · doi: 10.48550/arxiv.2606.07440 · pith_short_12: MSUT5QPPCX2C · pith_short_16: MSUT5QPPCX2CIRQO · pith_short_8: MSUT5QPP

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/MSUT5QPPCX2CIRQOORVGQZ4N2T \
  | 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: 64a93ec1ef15f424460e746a68678dd4dea2e451ee1b2467fe19bfe1a8536594

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "262e42420e836b2b2cc05c7e75ab2549d456fdf7b6cdc7eca66e1d7ed3c1aab0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2026-06-05T16:38:09Z",
    "title_canon_sha256": "dc071942ccc39b9d3a827285ccf8c682f887105c9f223a928340d7ad75ee18dd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.07440",
    "kind": "arxiv",
    "version": 1
  }
}