Pith Number

pith:QR4QCSZS

pith:2017:QR4QCSZSGQH2HT2EMHUDPWRDA3

not attested not anchored not stored refs pending

Monte Carlo Methods for Uniform Approximation on Periodic Sobolev Spaces with Mixed Smoothness

Glenn Byrenheid, Robert J. Kunsch, Van Kien Nguyen

arxiv:1709.03321 v1 · 2017-09-11 · 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{QR4QCSZSGQH2HT2EMHUDPWRDA3}

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	2026-05-18T00:22:15.997123Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8479014b32340fa3cf4461e837da2306fbfc2c79b0165882f22ff4f30b185e60

Aliases

arxiv: 1709.03321 · arxiv_version: 1709.03321v1 · doi: 10.48550/arxiv.1709.03321 · pith_short_12: QR4QCSZSGQH2 · pith_short_16: QR4QCSZSGQH2HT2E · pith_short_8: QR4QCSZS

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/QR4QCSZSGQH2HT2EMHUDPWRDA3 \
  | 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: 8479014b32340fa3cf4461e837da2306fbfc2c79b0165882f22ff4f30b185e60

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d8ca49a40428a133c027f4cfa6b998fdd2a93c5a7f6c1cb8e4f495f94d805d69",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2017-09-11T10:18:16Z",
    "title_canon_sha256": "5a010e82f4775d3938f720610eb544398fda2bacf12ee946d47440267047a14a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1709.03321",
    "kind": "arxiv",
    "version": 1
  }
}