Pith Number

pith:TNOOD5WP

pith:2018:TNOOD5WPMXJRMX6GFFJYHVH4YL

not attested not anchored not stored refs pending

Perturbations of Christoffel-Darboux kernels. I: detection of outliers

Bernhard Beckermann, Edward B. Saff, Mihai Putinar, Nikos Stylianopoulos

arxiv:1812.06560 v2 · 2018-12-16 · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TNOOD5WPMXJRMX6GFFJYHVH4YL}

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	2026-05-17T23:47:39.561174Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9b5ce1f6cf65d3165fc6295383d4fcc2f210bff1b1cefe9d4efd13e207145ff0

Aliases

arxiv: 1812.06560 · arxiv_version: 1812.06560v2 · doi: 10.48550/arxiv.1812.06560 · pith_short_12: TNOOD5WPMXJR · pith_short_16: TNOOD5WPMXJRMX6G · pith_short_8: TNOOD5WP

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/TNOOD5WPMXJRMX6GFFJYHVH4YL \
  | 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: 9b5ce1f6cf65d3165fc6295383d4fcc2f210bff1b1cefe9d4efd13e207145ff0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "465d370435db5bc5024cd3547905a6eb91f991e237335203508bb28497549155",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2018-12-16T23:54:57Z",
    "title_canon_sha256": "d8b63eaa8a5b2c3e4b12325d41be8244bef04e62e7dde1a42338998fae427e9b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.06560",
    "kind": "arxiv",
    "version": 2
  }
}