Pith Number

pith:63IM4T7B

pith:2023:63IM4T7BXOU2Y5BGLZAQF6L2VW

not attested not anchored not stored refs pending

Monotone Measure-Preserving Maps in Hilbert Spaces: Existence, Uniqueness, and Stability

Alberto Gonz\'alez-Sanz, Bodhisattva Sen, Marc Hallin

arxiv:2305.11751 v2 · 2023-05-19 · math.PR · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{63IM4T7BXOU2Y5BGLZAQF6L2VW}

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.

Cited by

2 papers in Pith

An Optimal Transportation Approach for Improved Confidence Intervals

Wasserstein Spatial Depth

Receipt and verification

First computed	2026-07-05T06:12:24.667164Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f6d0ce4fe1bba9ac74265e4102f97aadb945b28ede2df0b5a3a7d8ff0627976c

Aliases

arxiv: 2305.11751 · arxiv_version: 2305.11751v2 · doi: 10.48550/arxiv.2305.11751 · pith_short_12: 63IM4T7BXOU2 · pith_short_16: 63IM4T7BXOU2Y5BG · pith_short_8: 63IM4T7B

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/63IM4T7BXOU2Y5BGLZAQF6L2VW \
  | 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: f6d0ce4fe1bba9ac74265e4102f97aadb945b28ede2df0b5a3a7d8ff0627976c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "53cbece2adcbab6bc42387eb37afe75918513f889d215ae4dba866da92803910",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2023-05-19T15:39:51Z",
    "title_canon_sha256": "7a757e9f908d213428c89a7d1ec1393fabe3e225f8a1d6bdf7dccd4d0f862e4a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2305.11751",
    "kind": "arxiv",
    "version": 2
  }
}