Pith Number

pith:GXIAENNF

pith:2025:GXIAENNFTAA73DWNQG7LVTMOOF

not attested not anchored not stored refs pending

Elliptic orthogonal polynomials and OPRL

Andrei Martinez-Finkelshtein, Victor Alves

arxiv:2507.19656 v1 · 2025-07-25 · 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{GXIAENNFTAA73DWNQG7LVTMOOF}

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	2026-07-05T11:43:38.606099Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

35d00235a59801fd8ecd81bebacd8e717e1a33e8b3921177c2a4e1bbca5a9c30

Aliases

arxiv: 2507.19656 · arxiv_version: 2507.19656v1 · doi: 10.48550/arxiv.2507.19656 · pith_short_12: GXIAENNFTAA7 · pith_short_16: GXIAENNFTAA73DWN · pith_short_8: GXIAENNF

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/GXIAENNFTAA73DWNQG7LVTMOOF \
  | 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: 35d00235a59801fd8ecd81bebacd8e717e1a33e8b3921177c2a4e1bbca5a9c30

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f1f560158ca669d79839e2feebe8ade2b544396cbac1f07012d37b766972f9ed",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2025-07-25T20:02:40Z",
    "title_canon_sha256": "78d28ba28b73f6c16ebc7cbf89a219ceec3ff53d762a4e621bddc3603ea6342b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.19656",
    "kind": "arxiv",
    "version": 1
  }
}