Pith Number

pith:ZRUMAPSJ

pith:2020:ZRUMAPSJ5AJET5WJ3SOAC4CUZP

not attested not anchored not stored refs pending

The degree-$(n+1)$ polynomials are the most difficult $C^{\,n + 1}$ functions to uniformly approximate with degree-$n$ polynomials

Patrick Kidger

arxiv:2001.00668 v1 · 2020-01-02 · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZRUMAPSJ5AJET5WJ3SOAC4CUZP}

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	2026-07-05T00:29:31.248432Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cc68c03e49e81249f6c9dc9c017054cbca059a10838f0e667a9cf13c6b9e1582

Aliases

arxiv: 2001.00668 · arxiv_version: 2001.00668v1 · doi: 10.48550/arxiv.2001.00668 · pith_short_12: ZRUMAPSJ5AJE · pith_short_16: ZRUMAPSJ5AJET5WJ · pith_short_8: ZRUMAPSJ

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/ZRUMAPSJ5AJET5WJ3SOAC4CUZP \
  | 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: cc68c03e49e81249f6c9dc9c017054cbca059a10838f0e667a9cf13c6b9e1582

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ac391ae2f95c5350867b768e7e90dc46d66ce5ac7977e280f827cf4618c3175d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2020-01-02T23:31:55Z",
    "title_canon_sha256": "61bab87cecacc75d68fe525e008aeb8fb4665c1f6f23b08fbac0a4607af19d7f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2001.00668",
    "kind": "arxiv",
    "version": 1
  }
}