Pith Number

pith:4JCNPB7E

pith:2012:4JCNPB7ENNI7GWXBH5MN4EHCZG

not attested not anchored not stored refs pending

On affinity relating two positive measures and the connection coefficients between polynomials orthogonalized by these measures

Pawe{\l} J. Szab{\l}owski

arxiv:1202.1606 v3 · 2012-02-08 · 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{4JCNPB7ENNI7GWXBH5MN4EHCZG}

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	2026-05-18T03:33:26.323897Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e244d787e46b51f35ae13f58de10e2c9a5920cda6b0f27bda27d7519dcd4145e

Aliases

arxiv: 1202.1606 · arxiv_version: 1202.1606v3 · doi: 10.48550/arxiv.1202.1606 · pith_short_12: 4JCNPB7ENNI7 · pith_short_16: 4JCNPB7ENNI7GWXB · pith_short_8: 4JCNPB7E

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/4JCNPB7ENNI7GWXBH5MN4EHCZG \
  | 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: e244d787e46b51f35ae13f58de10e2c9a5920cda6b0f27bda27d7519dcd4145e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "648d9338dbcd5b3e7839c921076ea6770bce27dd7fd867091c8fd6eafbb11c17",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2012-02-08T05:55:17Z",
    "title_canon_sha256": "87bdcb759bd3bf87120803e548694ea0097bc731d35cbbe9f6b21e97184498b9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.1606",
    "kind": "arxiv",
    "version": 3
  }
}