Pith Number

pith:KCQ4AV5T

pith:2011:KCQ4AV5TQVCVQTNPDG7VYTR5FH

not attested not anchored not stored refs pending

On a Class of Non-Integrable Multipliers for the Jacobi Transform

Troels Roussau Johansen

arxiv:1108.3760 v1 · 2011-08-18 · 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{KCQ4AV5TQVCVQTNPDG7VYTR5FH}

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	2026-05-18T04:15:07.489045Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

50a1c057b38545584daf19bf5c4e3d29d64ba2fe9c4e51442b8c25f02bbc00e8

Aliases

arxiv: 1108.3760 · arxiv_version: 1108.3760v1 · doi: 10.48550/arxiv.1108.3760 · pith_short_12: KCQ4AV5TQVCV · pith_short_16: KCQ4AV5TQVCVQTNP · pith_short_8: KCQ4AV5T

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/KCQ4AV5TQVCVQTNPDG7VYTR5FH \
  | 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: 50a1c057b38545584daf19bf5c4e3d29d64ba2fe9c4e51442b8c25f02bbc00e8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d45286dd57fb06a1f0acbe56c3c43c359562804fa87d90b2d695137ab3cf678c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2011-08-18T14:19:39Z",
    "title_canon_sha256": "6a849924208124168c65af4b7cb8ea40d59c9be750b23f14a6f5d60a787b7f5f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.3760",
    "kind": "arxiv",
    "version": 1
  }
}