Pith Number

pith:KHSXOM3K

pith:2023:KHSXOM3KNO3C65ZEECTIRTA4ZB

not attested not anchored not stored refs pending

Simple unbalanced optimal transport

Boris Khesin, Klas Modin, Luke Volk

arxiv:2307.05703 v2 · 2023-07-11 · math.DG · 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{KHSXOM3KNO3C65ZEECTIRTA4ZB}

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	2026-07-05T11:51:59.233850Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

51e577336a6bb62f772420a688cc1cc87253c1f799899147fe03a68f28690018

Aliases

arxiv: 2307.05703 · arxiv_version: 2307.05703v2 · doi: 10.48550/arxiv.2307.05703 · pith_short_12: KHSXOM3KNO3C · pith_short_16: KHSXOM3KNO3C65ZE · pith_short_8: KHSXOM3K

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/KHSXOM3KNO3C65ZEECTIRTA4ZB \
  | 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: 51e577336a6bb62f772420a688cc1cc87253c1f799899147fe03a68f28690018

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a8db0ed5857283b49f4757df6694504156dda953aef877dc2919c910480aff22",
    "cross_cats_sorted": [
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2023-07-11T18:11:49Z",
    "title_canon_sha256": "3476df4bf77c6698437039d992276a6656b68379082672dd3ea5b0d78cf5a2c3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2307.05703",
    "kind": "arxiv",
    "version": 2
  }
}