Pith Number

pith:KKKZ7PR4

pith:2019:KKKZ7PR4H44NREHLPJBPR6RTCE

not attested not anchored not stored refs pending

Transport and Interface: an Uncertainty Principle for the Wasserstein distance

Amir Sagiv, Stefan Steinerberger

arxiv:1905.07450 v2 · 2019-05-17 · math.CA · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KKKZ7PR4H44NREHLPJBPR6RTCE}

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	2026-05-17T23:45:43.916876Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

52959fbe3c3f38d890eb7a42f8fa3311223153db9f53f6b8cfabdacc0a6af642

Aliases

arxiv: 1905.07450 · arxiv_version: 1905.07450v2 · doi: 10.48550/arxiv.1905.07450 · pith_short_12: KKKZ7PR4H44N · pith_short_16: KKKZ7PR4H44NREHL · pith_short_8: KKKZ7PR4

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/KKKZ7PR4H44NREHLPJBPR6RTCE \
  | 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: 52959fbe3c3f38d890eb7a42f8fa3311223153db9f53f6b8cfabdacc0a6af642

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3526b3e38739078fc180df9a3fa9bc6643f3c1f342f2a42c445623a971fef437",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2019-05-17T19:30:40Z",
    "title_canon_sha256": "4f93e13f25c7988b9b52f13f5039a8a01cf78ec2337e3377e29a1f1f92e74fd4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1905.07450",
    "kind": "arxiv",
    "version": 2
  }
}