Pith Number

pith:QWCMMGIZ

pith:2016:QWCMMGIZPDRCIMK56ZIUF4MZ34

not attested not anchored not stored refs pending

Fast algorithms for Quadrature by Expansion I: Globally valid expansions

Andreas Kl\"ockner, Manas Rachh, Michael O'Neil

arxiv:1602.05301 v2 · 2016-02-17 · 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{QWCMMGIZPDRCIMK56ZIUF4MZ34}

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	2026-05-18T00:41:42.043398Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8584c6191978e224315df65142f199df3d74eaa3f28e4a14c44f77e3a1799653

Aliases

arxiv: 1602.05301 · arxiv_version: 1602.05301v2 · doi: 10.48550/arxiv.1602.05301 · pith_short_12: QWCMMGIZPDRC · pith_short_16: QWCMMGIZPDRCIMK5 · pith_short_8: QWCMMGIZ

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/QWCMMGIZPDRCIMK56ZIUF4MZ34 \
  | 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: 8584c6191978e224315df65142f199df3d74eaa3f28e4a14c44f77e3a1799653

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2632ad3d1c148c5949f5e9ec1bf08442e48466d3ed75015f0a50dd503bd9f070",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2016-02-17T05:09:00Z",
    "title_canon_sha256": "fe20142ac46e5362a6b49d3e6b8c0e6eb9fedba209b8943a1f8f171dfd9f32fb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.05301",
    "kind": "arxiv",
    "version": 2
  }
}