Pith Number

pith:P7PGSBOY

pith:2015:P7PGSBOYFXDKJXEZPQC3X33ZGD

not attested not anchored not stored refs pending

Optimal quadrature rules for isogeometric analysis

Michael Barton, Victor Calo

arxiv:1511.03882 v1 · 2015-11-12 · 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{P7PGSBOYFXDKJXEZPQC3X33ZGD}

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	2026-05-18T01:27:06.595730Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7fde6905d82dc6a4dc997c05bbef7930f73df46c934cdc27cf3764dd02f34904

Aliases

arxiv: 1511.03882 · arxiv_version: 1511.03882v1 · doi: 10.48550/arxiv.1511.03882 · pith_short_12: P7PGSBOYFXDK · pith_short_16: P7PGSBOYFXDKJXEZ · pith_short_8: P7PGSBOY

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/P7PGSBOYFXDKJXEZPQC3X33ZGD \
  | 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: 7fde6905d82dc6a4dc997c05bbef7930f73df46c934cdc27cf3764dd02f34904

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5dd6e8a5e0f2e7a283476e2216775004eb46e97d4bcceb8ecc74c1bb606f72d9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2015-11-12T12:57:04Z",
    "title_canon_sha256": "993183b9eea0f77fb9173c58cc3709b758e61cb16151b2300565791191caa612"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.03882",
    "kind": "arxiv",
    "version": 1
  }
}