Pith Number

pith:C7GQ4ZCA

pith:2016:C7GQ4ZCA2B3SX7WHIBEOUMCXHS

not attested not anchored not stored refs pending

Optimal Quadrature Formulas for the Sobolev Space $H^1$

Erich Novak, Shun Zhang

arxiv:1609.01146 v1 · 2016-09-05 · 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{C7GQ4ZCA2B3SX7WHIBEOUMCXHS}

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	2026-05-18T00:10:48.111310Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

17cd0e6440d0772bfec74048ea30573cbd792993b360caad1338adddc8c45b33

Aliases

arxiv: 1609.01146 · arxiv_version: 1609.01146v1 · doi: 10.48550/arxiv.1609.01146 · pith_short_12: C7GQ4ZCA2B3S · pith_short_16: C7GQ4ZCA2B3SX7WH · pith_short_8: C7GQ4ZCA

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/C7GQ4ZCA2B3SX7WHIBEOUMCXHS \
  | 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: 17cd0e6440d0772bfec74048ea30573cbd792993b360caad1338adddc8c45b33

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "611c337c9effa4d9527e828112922642d805cc75a131584b39be5e78710763c5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2016-09-05T13:28:26Z",
    "title_canon_sha256": "697c76a0a66cd176db7e4369ce7fccdcdb4becb0aeb3bbfc34a5bc0745dd1977"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.01146",
    "kind": "arxiv",
    "version": 1
  }
}