Pith Number

pith:OZTKPXX6

pith:2012:OZTKPXX6QPHV32I6BHO3MPQVCB

not attested not anchored not stored refs pending

Potential operators associated with Jacobi and Fourier-Bessel expansions

Adam Nowak, Luz Roncal

arxiv:1212.6342 v2 · 2012-12-27 · 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{OZTKPXX6QPHV32I6BHO3MPQVCB}

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	2026-05-18T02:39:25.784421Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7666a7defe83cf5de91e09ddb63e15105ff52041b6143d4a5af57725ad3853b7

Aliases

arxiv: 1212.6342 · arxiv_version: 1212.6342v2 · doi: 10.48550/arxiv.1212.6342 · pith_short_12: OZTKPXX6QPHV · pith_short_16: OZTKPXX6QPHV32I6 · pith_short_8: OZTKPXX6

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/OZTKPXX6QPHV32I6BHO3MPQVCB \
  | 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: 7666a7defe83cf5de91e09ddb63e15105ff52041b6143d4a5af57725ad3853b7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c0a20bd0a4e7e8766a8d8e04ef33a06d468a3675b7c5b22a6c3ffa8c568654cc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2012-12-27T11:00:41Z",
    "title_canon_sha256": "0ddf552c6551b362c1efed76945a15c8f8a1313b357ee1d281be488c8dbec851"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.6342",
    "kind": "arxiv",
    "version": 2
  }
}