Pith Number

pith:QWJGBHOP

pith:2019:QWJGBHOP3P2LEQL6Q5VSM6PQKG

not attested not anchored not stored refs pending

Function Approximation via The Subsampled Poincar\' e Inequality

Thomas Y. Hou, Yifan Chen

arxiv:1912.08173 v3 · 2019-12-17 · 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{QWJGBHOP3P2LEQL6Q5VSM6PQKG}

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	2026-07-05T01:19:25.691392Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8592609dcfdbf4b2417e876b2679f051919cf6b7c9a749d43b9f5b267681180f

Aliases

arxiv: 1912.08173 · arxiv_version: 1912.08173v3 · doi: 10.48550/arxiv.1912.08173 · pith_short_12: QWJGBHOP3P2L · pith_short_16: QWJGBHOP3P2LEQL6 · pith_short_8: QWJGBHOP

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/QWJGBHOP3P2LEQL6Q5VSM6PQKG \
  | 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: 8592609dcfdbf4b2417e876b2679f051919cf6b7c9a749d43b9f5b267681180f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a33f2a9ccf8923e7e2c55e5dfdcd9eaee9b65b4ae7fd0128f294ef9ce5ca1d89",
    "cross_cats_sorted": [
      "cs.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2019-12-17T18:24:55Z",
    "title_canon_sha256": "5e886f516fe7a4d1650bda8dca8b3bbe8ef55cc5c5f88da5ed1a347688919986"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1912.08173",
    "kind": "arxiv",
    "version": 3
  }
}