Pith Number

pith:JF5A5NCQ

pith:2010:JF5A5NCQYBJL2ZPB55OZSBIQKF

not attested not anchored not stored refs pending

On Sobolev regularity of mass transport and transportation inequalities

Alexander V. Kolesnikov

arxiv:1007.1103 v3 · 2010-07-07 · 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{JF5A5NCQYBJL2ZPB55OZSBIQKF}

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	2026-05-18T04:27:16.320208Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

497a0eb450c052bd65e1ef5d990510517d51750d9d80c646dcd43c75277f2c71

Aliases

arxiv: 1007.1103 · arxiv_version: 1007.1103v3 · doi: 10.48550/arxiv.1007.1103 · pith_short_12: JF5A5NCQYBJL · pith_short_16: JF5A5NCQYBJL2ZPB · pith_short_8: JF5A5NCQ

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/JF5A5NCQYBJL2ZPB55OZSBIQKF \
  | 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: 497a0eb450c052bd65e1ef5d990510517d51750d9d80c646dcd43c75277f2c71

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7c77f3ce8cecbaca2063aa4c5c0133a2fd8d31acfe60017ac666513293daaa19",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2010-07-07T10:48:17Z",
    "title_canon_sha256": "8bfdb54d5ed414d1349effcf1d9827a9ecd6e372e052d07396a0bcac0ecda4fd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1007.1103",
    "kind": "arxiv",
    "version": 3
  }
}