Pith Number

pith:SIHKLLY6

pith:2026:SIHKLLY6R75IOY3XQG6E6CHTN3

not attested not anchored not stored refs pending

A Multiscale Primal-Dual Interior-Point Relaxation Method for Large-Scale Optimal Transport Problems

Rui-Jin Zhang, Ruoyu Diao, Shengyu Sun, Yu-Hong Dai

arxiv:2608.12060 v1 · 2026-08-12 · 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{SIHKLLY6R75IOY3XQG6E6CHTN3}

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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	2026-08-13T01:29:22.686376Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

920ea5af1e8ffa87637781bc4f08f36ed0dc2cc12150c4ef045444c9fde31be3

Aliases

arxiv: 2608.12060 · arxiv_version: 2608.12060v1 · doi: 10.48550/arxiv.2608.12060 · pith_short_12: SIHKLLY6R75I · pith_short_16: SIHKLLY6R75IOY3X · pith_short_8: SIHKLLY6

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/SIHKLLY6R75IOY3XQG6E6CHTN3 \
  | 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: 920ea5af1e8ffa87637781bc4f08f36ed0dc2cc12150c4ef045444c9fde31be3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0bd4a6edb2572d6d6b01a6ffac26fb5db347d014cfffbf7092cac568e4a38ca6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2026-08-12T13:47:05Z",
    "title_canon_sha256": "6e18aa03d40c13287a1bc8b12535d1329fcae8d9eabbbf2002c0e4975be66441"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.12060",
    "kind": "arxiv",
    "version": 1
  }
}