Pith Number

pith:OX7CEQB3

pith:2011:OX7CEQB32HIQLR6NY6S3TKJHU5

not attested not anchored not stored refs pending

Mass transportation and contractions

Alexander V. Kolesnikov

arxiv:1103.1479 v1 · 2011-03-08 · math.PR · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OX7CEQB32HIQLR6NY6S3TKJHU5}

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

Global estimates on the Brenier map

Fast Mixing of Data Augmentation Algorithms: Bayesian Probit, Logit, and Lasso Regression

Receipt and verification

First computed	2026-05-18T04:27:15.774206Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

75fe22403bd1d105c7cdc7a5b9a927a77c2fc75fa5034dcfa289e09df39e61b2

Aliases

arxiv: 1103.1479 · arxiv_version: 1103.1479v1 · doi: 10.48550/arxiv.1103.1479 · pith_short_12: OX7CEQB32HIQ · pith_short_16: OX7CEQB32HIQLR6N · pith_short_8: OX7CEQB3

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/OX7CEQB32HIQLR6NY6S3TKJHU5 \
  | 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: 75fe22403bd1d105c7cdc7a5b9a927a77c2fc75fa5034dcfa289e09df39e61b2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "da167040a66a69eba5a4d68b4ceacbef1f6c782a7e6208633943614c6b61db36",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-03-08T09:59:18Z",
    "title_canon_sha256": "79ffedc244ccd485235c68100dca1895c156788e64c76262f15d6bdc67103294"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.1479",
    "kind": "arxiv",
    "version": 1
  }
}