Pith Number

pith:JKYDEYVV

pith:2016:JKYDEYVVWVAW6KX2U3FVLTWLFC

not attested not anchored not stored refs pending

Optimal sampling rates for approximating analytic functions from pointwise samples

Alexei Shadrin, Ben Adcock, Rodrigo Platte

arxiv:1610.04769 v3 · 2016-10-15 · 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{JKYDEYVVWVAW6KX2U3FVLTWLFC}

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	2026-05-18T00:19:09.122170Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4ab03262b5b5416f2afaa6cb55cecb28969a7f270e89570d9619cb62601bdf91

Aliases

arxiv: 1610.04769 · arxiv_version: 1610.04769v3 · doi: 10.48550/arxiv.1610.04769 · pith_short_12: JKYDEYVVWVAW · pith_short_16: JKYDEYVVWVAW6KX2 · pith_short_8: JKYDEYVV

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/JKYDEYVVWVAW6KX2U3FVLTWLFC \
  | 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: 4ab03262b5b5416f2afaa6cb55cecb28969a7f270e89570d9619cb62601bdf91

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "517b8a66f144bff8dad704aa6bf5d4155a209eff26c169d8a07732c685573cbc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2016-10-15T18:07:53Z",
    "title_canon_sha256": "13b9720b3d3c698975bb5b6ceafb6f60d575d27eb89fa8435b1a7e9df9e614ce"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.04769",
    "kind": "arxiv",
    "version": 3
  }
}