Pith Number

pith:PTPK6UIF

pith:2026:PTPK6UIFG7UKDRGU2YJZ5QBEVQ

not attested not anchored not stored refs pending

Exponential Convergence of the Sinkhorn Algorithm for the Schr\"odinger Bridge with Regime Switching

Anna Kazeykina, Hecheng Wang, Katharina Eichinger, Zhenjie Ren

arxiv:2607.19176 v1 · 2026-07-21 · math.PR

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PTPK6UIFG7UKDRGU2YJZ5QBEVQ}

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	2026-07-22T01:24:12.327287Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7cdeaf510537e8a1c4d4d6139ec024ac33aefd2caa488478cd34f5cffc6225d7

Aliases

arxiv: 2607.19176 · arxiv_version: 2607.19176v1 · doi: 10.48550/arxiv.2607.19176 · pith_short_12: PTPK6UIFG7UK · pith_short_16: PTPK6UIFG7UKDRGU · pith_short_8: PTPK6UIF

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/PTPK6UIFG7UKDRGU2YJZ5QBEVQ \
  | 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: 7cdeaf510537e8a1c4d4d6139ec024ac33aefd2caa488478cd34f5cffc6225d7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e862cb6d32a8c509dda5d3ccf474cce4eb0dd1fe2d86218b852746226ab97dfb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2026-07-21T15:13:51Z",
    "title_canon_sha256": "01c72de5e9643d11571200492af90c1553a584992ad018e68d127fcf90f9f4f2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.19176",
    "kind": "arxiv",
    "version": 1
  }
}