Pith Number

pith:4F6LJR7T

pith:2018:4F6LJR7T6OI524XZCGRRGYKP5H

not attested not anchored not stored refs pending

A new and sharper bound for Legendre expansion of differentiable functions

Haiyong Wang

arxiv:1803.00336 v1 · 2018-03-01 · 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{4F6LJR7T6OI524XZCGRRGYKP5H}

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	2026-05-18T00:13:10.373056Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e17cb4c7f3f391dd72f911a313614fe9d644eb21b794e7b6b82cffabadfe85dc

Aliases

arxiv: 1803.00336 · arxiv_version: 1803.00336v1 · doi: 10.48550/arxiv.1803.00336 · pith_short_12: 4F6LJR7T6OI5 · pith_short_16: 4F6LJR7T6OI524XZ · pith_short_8: 4F6LJR7T

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/4F6LJR7T6OI524XZCGRRGYKP5H \
  | 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: e17cb4c7f3f391dd72f911a313614fe9d644eb21b794e7b6b82cffabadfe85dc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "99d26ee2f9e4f984f7975266b0d1f078355c4b7fca97c4e72d87930419d5b858",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2018-03-01T12:20:33Z",
    "title_canon_sha256": "58396acf0b645f9c9a4224084aec7b8fbeba97a066a40963bcfbb024967b07d8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1803.00336",
    "kind": "arxiv",
    "version": 1
  }
}