Pith Number

pith:VKX5A77P

pith:2013:VKX5A77PRBVBHASBI7CA3NAO3Z

not attested not anchored not stored refs pending

On the evaluation of prolate spheroidal wave functions and associated quadrature rules

Andrei Osipov, Vladimir Rokhlin

arxiv:1301.1707 v1 · 2013-01-08 · 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{VKX5A77PRBVBHASBI7CA3NAO3Z}

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	2026-05-18T03:36:56.078153Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aaafd07fef886a13824147c40db40ede6b2d1b1323c65575aa51b98607c91a86

Aliases

arxiv: 1301.1707 · arxiv_version: 1301.1707v1 · doi: 10.48550/arxiv.1301.1707 · pith_short_12: VKX5A77PRBVB · pith_short_16: VKX5A77PRBVBHASB · pith_short_8: VKX5A77P

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/VKX5A77PRBVBHASBI7CA3NAO3Z \
  | 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: aaafd07fef886a13824147c40db40ede6b2d1b1323c65575aa51b98607c91a86

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "208ac47c70aefe5d7e03cd6b2deefe960b0470434dcb017c6a1ab23fb11cc082",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2013-01-08T22:07:12Z",
    "title_canon_sha256": "504101ecb3fdc57e84486daecb8a2bd93075d92fb2ba58d8510c56fc6af81706"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.1707",
    "kind": "arxiv",
    "version": 1
  }
}