Pith Number

pith:3QH2EXD4

pith:2019:3QH2EXD4FGI5SJKCCWFAND44MT

not attested not anchored not stored refs pending

High degree quadrature rules with pseudorandom rational nodes

M\'ario M. Gra\c{c}a

arxiv:1907.09805 v1 · 2019-07-23 · math.NA · cs.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3QH2EXD4FGI5SJKCCWFAND44MT}

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	2026-05-17T23:39:50.000129Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dc0fa25c7c2991d92542158a068f9c64cad49d870c9f6d17110082412c2d7f3f

Aliases

arxiv: 1907.09805 · arxiv_version: 1907.09805v1 · doi: 10.48550/arxiv.1907.09805 · pith_short_12: 3QH2EXD4FGI5 · pith_short_16: 3QH2EXD4FGI5SJKC · pith_short_8: 3QH2EXD4

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/3QH2EXD4FGI5SJKCCWFAND44MT \
  | 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: dc0fa25c7c2991d92542158a068f9c64cad49d870c9f6d17110082412c2d7f3f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "301e9e1b02d248af8264f253c0234283ee981dace6110b03b3dfa9656a0f48fa",
    "cross_cats_sorted": [
      "cs.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2019-07-23T10:31:33Z",
    "title_canon_sha256": "e4c965c01c6d1c79a194309e93218c4b24d3e6b9272d9d9f999e2fa3bf7e9656"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.09805",
    "kind": "arxiv",
    "version": 1
  }
}