Pith Number

pith:SMQD2BWR

pith:2010:SMQD2BWR5M66JLN4V7H46UILE3

not attested not anchored not stored refs pending

Approximation properties of the $q$-sine bases

Gabriel Lord, Lyonell Boulton

arxiv:1008.2519 v2 · 2010-08-15 · math.SP · 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{SMQD2BWR5M66JLN4V7H46UILE3}

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	2026-05-18T02:05:48.214546Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

93203d06d1eb3de4adbcafcfcf510b26d7a2c28f0fb2a915ab9c8b5020d1f424

Aliases

arxiv: 1008.2519 · arxiv_version: 1008.2519v2 · doi: 10.48550/arxiv.1008.2519 · pith_short_12: SMQD2BWR5M66 · pith_short_16: SMQD2BWR5M66JLN4 · pith_short_8: SMQD2BWR

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/SMQD2BWR5M66JLN4V7H46UILE3 \
  | 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: 93203d06d1eb3de4adbcafcfcf510b26d7a2c28f0fb2a915ab9c8b5020d1f424

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b0d1abb979a6d6e995baf5b02b52fb4f2f9bb40d799c9cdb5b34d4c94ab01631",
    "cross_cats_sorted": [
      "math.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2010-08-15T13:37:00Z",
    "title_canon_sha256": "3a3b18c6892be665c185fde0dfd9b9424dbf9ea6c843733ac8d75b10e7811d5d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1008.2519",
    "kind": "arxiv",
    "version": 2
  }
}