Pith Number

pith:NATMAWIO

pith:2012:NATMAWIOPXGTG74BDLT3SAGAQI

not attested not anchored not stored refs pending

Orthogonal polynomials generated by a linear structure relation: Inverse problem

A. Pe\~na, J. Petronilho, M. Alfaro, M. L. Rezola

arxiv:1212.4271 v1 · 2012-12-18 · 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{NATMAWIOPXGTG74BDLT3SAGAQI}

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	2026-05-18T03:38:13.444369Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6826c0590e7dcd337f811ae7b900c08213a870f0ae6391f50573f9f57ff323e2

Aliases

arxiv: 1212.4271 · arxiv_version: 1212.4271v1 · doi: 10.48550/arxiv.1212.4271 · pith_short_12: NATMAWIOPXGT · pith_short_16: NATMAWIOPXGTG74B · pith_short_8: NATMAWIO

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/NATMAWIOPXGTG74BDLT3SAGAQI \
  | 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: 6826c0590e7dcd337f811ae7b900c08213a870f0ae6391f50573f9f57ff323e2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "570c86c13f7fd9065e7663142721c1002131b980c4e9c049ae6b4aae98c9674c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2012-12-18T08:47:50Z",
    "title_canon_sha256": "f0c32b598a0ab0145dcde827c6cfcb244cbaf4cd831a43801ef974d313424b4a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.4271",
    "kind": "arxiv",
    "version": 1
  }
}