Pith Number

pith:ENBYKK7E

pith:2018:ENBYKK7E46FIWMIFNNMB3LOQJR

not attested not anchored not stored refs pending

Discrete harmonic analysis associated with Jacobi expansions I: the heat semigroup

Alberto Arenas, Edgar Labarga, \'Oscar Ciaurri

arxiv:1806.00056 v2 · 2018-05-31 · 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{ENBYKK7E46FIWMIFNNMB3LOQJR}

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	2026-05-17T23:55:38.625780Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2343852be4e78a8b31056b581dadd04c7bb8ecf0d9a03748bf19426edf668b53

Aliases

arxiv: 1806.00056 · arxiv_version: 1806.00056v2 · doi: 10.48550/arxiv.1806.00056 · pith_short_12: ENBYKK7E46FI · pith_short_16: ENBYKK7E46FIWMIF · pith_short_8: ENBYKK7E

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/ENBYKK7E46FIWMIFNNMB3LOQJR \
  | 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: 2343852be4e78a8b31056b581dadd04c7bb8ecf0d9a03748bf19426edf668b53

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5dc2a96713e4cbb1a99aabc930905ff4ecdc1ce01b0200f9ed584a23d26d0fcd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2018-05-31T19:12:32Z",
    "title_canon_sha256": "4b423119e9856e79fcdc348d310e02032306a59cc91e45861092d716f391b19a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1806.00056",
    "kind": "arxiv",
    "version": 2
  }
}