Pith Number

pith:GUGCTJ73

pith:2017:GUGCTJ73JHWEZZVAGM6AHTHUF7

not attested not anchored not stored refs pending

Differential operator for discrete Gegenbauer--Sobolev orthogonal polynomials: eigenvalues and asymptotics

Juan F. Ma\~nas-Ma\~nas, Juan J. Moreno--Balc\'azar, Lance L. Littlejohn, Richard Wellman

arxiv:1705.08167 v1 · 2017-05-23 · 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{GUGCTJ73JHWEZZVAGM6AHTHUF7}

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	2026-05-18T00:43:49.159643Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

350c29a7fb49ec4ce6a0333c03ccf42fc41f66ca54fe38411e9279ea4f660364

Aliases

arxiv: 1705.08167 · arxiv_version: 1705.08167v1 · doi: 10.48550/arxiv.1705.08167 · pith_short_12: GUGCTJ73JHWE · pith_short_16: GUGCTJ73JHWEZZVA · pith_short_8: GUGCTJ73

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/GUGCTJ73JHWEZZVAGM6AHTHUF7 \
  | 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: 350c29a7fb49ec4ce6a0333c03ccf42fc41f66ca54fe38411e9279ea4f660364

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bef40224830619d90f8a022153989b3946ee09b0df43d6425ae746a5cc244edb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2017-05-23T10:37:01Z",
    "title_canon_sha256": "8c8736cfa5c8d2fa8c258bc601d77b7c79c820b6d96abc8c9769f72bb3375f0f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1705.08167",
    "kind": "arxiv",
    "version": 1
  }
}