Pith Number

pith:CMSOI4LI

pith:2015:CMSOI4LIFQIJLTB44E2SE5HCMS

not attested not anchored not stored refs pending

Explicit formulas for orthogonal polynomials derived from their difference equation

Alexander Aycock

arxiv:1506.06295 v1 · 2015-06-20 · math.HO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CMSOI4LIFQIJLTB44E2SE5HCMS}

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	2026-05-18T01:41:45.583516Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1324e471682c1095cc3ce1352274e264b2376885e9935ef7874c237d9cb0be06

Aliases

arxiv: 1506.06295 · arxiv_version: 1506.06295v1 · doi: 10.48550/arxiv.1506.06295 · pith_short_12: CMSOI4LIFQIJ · pith_short_16: CMSOI4LIFQIJLTB4 · pith_short_8: CMSOI4LI

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/CMSOI4LIFQIJLTB44E2SE5HCMS \
  | 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: 1324e471682c1095cc3ce1352274e264b2376885e9935ef7874c237d9cb0be06

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5a69cd62ffc6a9ede627a7c4d1b8272459aca809080ed18b1aa059b6dcc923ee",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.HO",
    "submitted_at": "2015-06-20T21:08:30Z",
    "title_canon_sha256": "39859f5cfadff9413ec34504a56ec19edc99bcea6ce9e1f999fd2356c4bdfa43"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.06295",
    "kind": "arxiv",
    "version": 1
  }
}