Pith Number

pith:QCHTDRWQ

pith:2026:QCHTDRWQLNK7Q6LCDYHW5PWVLL

not attested not anchored not stored refs pending

The Fundamental Limits of Valid Transport Map Estimation

Sivaraman Balakrishnan

arxiv:2606.30574 v1 · 2026-06-29 · cs.LG · math.ST · stat.ML · stat.TH

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QCHTDRWQLNK7Q6LCDYHW5PWVLL}

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	2026-06-30T02:18:21.054421Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

808f31c6d05b55f879621e0f6ebed55ae20ef220d43c914cd9fb4c1d1085ae38

Aliases

arxiv: 2606.30574 · arxiv_version: 2606.30574v1 · doi: 10.48550/arxiv.2606.30574 · pith_short_12: QCHTDRWQLNK7 · pith_short_16: QCHTDRWQLNK7Q6LC · pith_short_8: QCHTDRWQ

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/QCHTDRWQLNK7Q6LCDYHW5PWVLL \
  | 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: 808f31c6d05b55f879621e0f6ebed55ae20ef220d43c914cd9fb4c1d1085ae38

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8b362dd968ee52d0bd506e336ab68ce151a24c0e7d3d8f7ab1226c961ce83e5d",
    "cross_cats_sorted": [
      "math.ST",
      "stat.ML",
      "stat.TH"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-06-29T17:17:55Z",
    "title_canon_sha256": "7e4d393a62938dd8f71843bd77d7c3987a2e3d048d1c6d71ce37f1a202b62281"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.30574",
    "kind": "arxiv",
    "version": 1
  }
}