Pith Number

pith:USYUO33V

pith:2007:USYUO33VAK4Y5AMZKI46GVUMTB

not attested not anchored not stored refs pending

Multivariate integration of functions depending explicitly on the minimum and the maximum of the variables

Jean-Luc Marichal

arxiv:0710.2614 v1 · 2007-10-13 · math.FA · 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{USYUO33VAK4Y5AMZKI46GVUMTB}

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	2026-05-18T02:16:10.509476Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a4b1476f7502b98e81995239e3568c986481ac5ca6de2e5494860bf91d2bb09f

Aliases

arxiv: 0710.2614 · arxiv_version: 0710.2614v1 · doi: 10.48550/arxiv.0710.2614 · pith_short_12: USYUO33VAK4Y · pith_short_16: USYUO33VAK4Y5AMZ · pith_short_8: USYUO33V

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/USYUO33VAK4Y5AMZKI46GVUMTB \
  | 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: a4b1476f7502b98e81995239e3568c986481ac5ca6de2e5494860bf91d2bb09f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "771764a24534149945b98abe37f2504c386dad84c668aa1f309e6064441c8898",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "",
    "primary_cat": "math.FA",
    "submitted_at": "2007-10-13T15:13:50Z",
    "title_canon_sha256": "cd90d8abef3cde3742fb6a58e7cf4ad8834b7db06502d49fd415fb5ab801a4ba"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0710.2614",
    "kind": "arxiv",
    "version": 1
  }
}