Pith Number

pith:INUUP3YP

pith:2016:INUUP3YPSU5OL6VTU6OMHRIZE4

not attested not anchored not stored refs pending

Orthogonal polynomials associated with equilibrium measures on $\mathbb{R}$

G\"okalp Alpan

arxiv:1603.07705 v1 · 2016-03-24 · 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{INUUP3YPSU5OL6VTU6OMHRIZE4}

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	2026-05-18T01:18:20.102013Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

436947ef0f953ae5fab3a79cc3c519271f18b40907bf83f4173856307aa451bd

Aliases

arxiv: 1603.07705 · arxiv_version: 1603.07705v1 · doi: 10.48550/arxiv.1603.07705 · pith_short_12: INUUP3YPSU5O · pith_short_16: INUUP3YPSU5OL6VT · pith_short_8: INUUP3YP

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/INUUP3YPSU5OL6VTU6OMHRIZE4 \
  | 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: 436947ef0f953ae5fab3a79cc3c519271f18b40907bf83f4173856307aa451bd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eb274bf4d70e1ccd48c736480f8cc8ca7277187a062f7ed4f5c0a087609924e4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2016-03-24T18:54:39Z",
    "title_canon_sha256": "6f4b797e6b7542700ed4bff0e6ecb21e5c25fe08ad9f2e7dad062ab6c2b3e66c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.07705",
    "kind": "arxiv",
    "version": 1
  }
}