Pith Number

pith:XGFMUHES

pith:2011:XGFMUHES2TBNJSV2UUHJYUSTEV

not attested not anchored not stored refs pending

Young's functional with Lebesgue-Stieltjes integrals

Dan Marinescu, Marian Stroe, Mihai Monea, Milan Merkle, Monica Moulin Ribeiro Merkle

arxiv:1110.2950 v2 · 2011-10-07 · math.CA · math.ST · 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{XGFMUHES2TBNJSV2UUHJYUSTEV}

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	2026-05-18T04:10:08.371786Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b98aca1c92d4c2d4cabaa50e9c5253255f86b0ec372af91358c20b58e4342913

Aliases

arxiv: 1110.2950 · arxiv_version: 1110.2950v2 · doi: 10.48550/arxiv.1110.2950 · pith_short_12: XGFMUHES2TBN · pith_short_16: XGFMUHES2TBNJSV2 · pith_short_8: XGFMUHES

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/XGFMUHES2TBNJSV2UUHJYUSTEV \
  | 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: b98aca1c92d4c2d4cabaa50e9c5253255f86b0ec372af91358c20b58e4342913

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "43ffbb89efe125f5da47f1a3e134b411cb6fe230b94c5a85a50360234f139b2f",
    "cross_cats_sorted": [
      "math.ST",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2011-10-07T21:13:24Z",
    "title_canon_sha256": "892980c80d709002a2447427e10fa281a5b4473f5b7dccf85b6a4895d1414ae3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.2950",
    "kind": "arxiv",
    "version": 2
  }
}