Pith Number

pith:F27AKOGG

pith:2015:F27AKOGGODHQ6S4NAY3JLAYQ6H

not attested not anchored not stored refs pending

The Algebra of Differential Operators for a Gegenbauer Weight Matrix

Ignacio Zurri\'an

arxiv:1505.03321 v3 · 2015-05-11 · math.CA · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{F27AKOGGODHQ6S4NAY3JLAYQ6H}

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	2026-05-18T01:06:41.094411Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2ebe0538c670cf0f4b8d0636958310f1f537f939ac2e8417a8a4eab91e5e3e4d

Aliases

arxiv: 1505.03321 · arxiv_version: 1505.03321v3 · doi: 10.48550/arxiv.1505.03321 · pith_short_12: F27AKOGGODHQ · pith_short_16: F27AKOGGODHQ6S4N · pith_short_8: F27AKOGG

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/F27AKOGGODHQ6S4NAY3JLAYQ6H \
  | 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: 2ebe0538c670cf0f4b8d0636958310f1f537f939ac2e8417a8a4eab91e5e3e4d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "72f1440e7da612ef3f16492365a1e3e1303b0257e657ebf0ef63be0ce653083e",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2015-05-11T17:06:39Z",
    "title_canon_sha256": "41dbb86565302323d792b2d2b7b590939c926f7994d23b64d00efd284996c514"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.03321",
    "kind": "arxiv",
    "version": 3
  }
}