Pith Number

pith:3QLU66QP

pith:2013:3QLU66QP4R73YORF7XDQW4LKGY

not attested not anchored not stored refs pending

The Optimal Dyadic Derivative

Andreas Klotz

arxiv:1312.4335 v1 · 2013-12-16 · math.CA · math.FA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3QLU66QP4R73YORF7XDQW4LKGY}

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	2026-05-18T03:04:34.877046Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dc174f7a0fe47fbc3a25fdc70b716a362b4a2ee334a4989da02bc20a6a7c5cf4

Aliases

arxiv: 1312.4335 · arxiv_version: 1312.4335v1 · doi: 10.48550/arxiv.1312.4335 · pith_short_12: 3QLU66QP4R73 · pith_short_16: 3QLU66QP4R73YORF · pith_short_8: 3QLU66QP

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/3QLU66QP4R73YORF7XDQW4LKGY \
  | 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: dc174f7a0fe47fbc3a25fdc70b716a362b4a2ee334a4989da02bc20a6a7c5cf4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0422bab36a2cbf13116c6dd64e4942e5b8eb541f9023b948690e063097b0d74d",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2013-12-16T12:41:33Z",
    "title_canon_sha256": "031c8921856edb2cab5bdc578f1ab7ef308b11bf568dd6a3c7816081d58bc3e6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.4335",
    "kind": "arxiv",
    "version": 1
  }
}