Pith Number

pith:QISXN2LV

pith:2019:QISXN2LVGXPYLKO7K77RZOC4ZC

not attested not anchored not stored refs pending

A sparse spectral method for Volterra integral equations using orthogonal polynomials on the triangle

Sheehan Olver, Timon S. Gutleb

arxiv:1906.03907 v1 · 2019-06-10 · math.NA · cs.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{QISXN2LVGXPYLKO7K77RZOC4ZC}

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	2026-07-05T09:09:45.604948Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

822576e97535df85a9df57ff1cb85cc881f539b9beabee0529bd549f18ddfab6

Aliases

arxiv: 1906.03907 · arxiv_version: 1906.03907v1 · doi: 10.48550/arxiv.1906.03907 · pith_short_12: QISXN2LVGXPY · pith_short_16: QISXN2LVGXPYLKO7 · pith_short_8: QISXN2LV

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/QISXN2LVGXPYLKO7K77RZOC4ZC \
  | 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: 822576e97535df85a9df57ff1cb85cc881f539b9beabee0529bd549f18ddfab6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "44e51b8c054fd80cb3da01370e21e161b11656dd57b40687d78a9dad390f22cb",
    "cross_cats_sorted": [
      "cs.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2019-06-10T11:32:35Z",
    "title_canon_sha256": "21d8d873d4cfd6d5f7f9a9c03792e5de27cabf75347aa813bc6f54af4c06b558"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1906.03907",
    "kind": "arxiv",
    "version": 1
  }
}