Pith Number

pith:A2G7H7IB

pith:2021:A2G7H7IBA5NNMTBZ3KFGJXTNDX

not attested not anchored not stored refs pending

Evaluation of multivariate integrals based on a duality identity for the Stieltjes transform

Christophe Vignat, Sarth Chavan

arxiv:2105.11771 v6 · 2021-05-25 · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{A2G7H7IBA5NNMTBZ3KFGJXTNDX}

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	2026-07-05T05:10:34.436534Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

068df3fd01075ad64c39da8a64de6d1de6042a6e9a2698ea1dff8d7c7a1fb6b9

Aliases

arxiv: 2105.11771 · arxiv_version: 2105.11771v6 · doi: 10.48550/arxiv.2105.11771 · pith_short_12: A2G7H7IBA5NN · pith_short_16: A2G7H7IBA5NNMTBZ · pith_short_8: A2G7H7IB

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/A2G7H7IBA5NNMTBZ3KFGJXTNDX \
  | 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: 068df3fd01075ad64c39da8a64de6d1de6042a6e9a2698ea1dff8d7c7a1fb6b9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7a8963552ba957702d05afaeb016ddc2c2af4647083b1c395d5e77d1d612eda3",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2021-05-25T09:11:40Z",
    "title_canon_sha256": "c8f096872382d483840f1ddf4351bf825a8aeddf1ae5e9eee58d8de2980fb385"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2105.11771",
    "kind": "arxiv",
    "version": 6
  }
}