Pith Number

pith:Z2S4NXEX

pith:2018:Z2S4NXEXXWQVJHNG6QFRENPT4F

not attested not anchored not stored refs pending

Orthogonality of quasi-orthogonal polynomials

Cleonice F. Bracciali, Francisco Marcell\'an, Serhan Varma

arxiv:1901.01128 v1 · 2018-12-14 · 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{Z2S4NXEXXWQVJHNG6QFRENPT4F}

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	2026-05-17T23:56:56.995249Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cea5c6dc97bda1549da6f40b1235f3e14a158299b6631e83c1d411440aaebe3f

Aliases

arxiv: 1901.01128 · arxiv_version: 1901.01128v1 · doi: 10.48550/arxiv.1901.01128 · pith_short_12: Z2S4NXEXXWQV · pith_short_16: Z2S4NXEXXWQVJHNG · pith_short_8: Z2S4NXEX

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/Z2S4NXEXXWQVJHNG6QFRENPT4F \
  | 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: cea5c6dc97bda1549da6f40b1235f3e14a158299b6631e83c1d411440aaebe3f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "32786c757f262d64ef23e98c8fc272a4ec5c79f70f02084e2671ef6bca667a0d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2018-12-14T11:26:22Z",
    "title_canon_sha256": "7f3d0a9270eb99bf53070ebb9082b3b817ddd5ba2e714677cc8b86d69d07633a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1901.01128",
    "kind": "arxiv",
    "version": 1
  }
}