Pith Number

pith:JCSUVXU3

pith:2015:JCSUVXU3SC7YPGGHL2KAUWPEXN

not attested not anchored not stored refs pending

The role of Frolov's cubature formula for functions with bounded mixed derivative

Mario Ullrich, Tino Ullrich

arxiv:1503.08846 v2 · 2015-03-30 · math.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{JCSUVXU3SC7YPGGHL2KAUWPEXN}

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	2026-05-18T01:17:37.623810Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

48a54ade9b90bf8798c75e940a59e4bb6c87b02ce5822d68255f455f605b903f

Aliases

arxiv: 1503.08846 · arxiv_version: 1503.08846v2 · doi: 10.48550/arxiv.1503.08846 · pith_short_12: JCSUVXU3SC7Y · pith_short_16: JCSUVXU3SC7YPGGH · pith_short_8: JCSUVXU3

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/JCSUVXU3SC7YPGGHL2KAUWPEXN \
  | 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: 48a54ade9b90bf8798c75e940a59e4bb6c87b02ce5822d68255f455f605b903f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "94634cb0aa09ab58dd6ac8540219567b886149ef6b878a4af826032195560a23",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2015-03-30T20:36:51Z",
    "title_canon_sha256": "0affc317b8adbd46a2772656fba4a31e9701f188db095ce1d0e2e8e48e88a2b5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.08846",
    "kind": "arxiv",
    "version": 2
  }
}