Pith Number

pith:DDUXQU4F

pith:2012:DDUXQU4FI5ZFYZYYUJT6KBC66B

not attested not anchored not stored refs pending

Analytic and Group-Theoretic Aspects of the Cosine Transform

A. Pasquale, B. Rubin, G. \'Olafsson

arxiv:1209.1822 v1 · 2012-09-09 · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DDUXQU4FI5ZFYZYYUJT6KBC66B}

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	2026-05-18T03:45:54.259649Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

18e978538547725c6718a267e5045ef04ef0db9d6728311e8704701c831f8de4

Aliases

arxiv: 1209.1822 · arxiv_version: 1209.1822v1 · doi: 10.48550/arxiv.1209.1822 · pith_short_12: DDUXQU4FI5ZF · pith_short_16: DDUXQU4FI5ZFYZYY · pith_short_8: DDUXQU4F

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/DDUXQU4FI5ZFYZYYUJT6KBC66B \
  | 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: 18e978538547725c6718a267e5045ef04ef0db9d6728311e8704701c831f8de4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "942e61ef4262ec373b086375afa30acbefe2eebc861f6635b3cac85336ef692d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2012-09-09T17:32:17Z",
    "title_canon_sha256": "6753e6afd9da53dd21b091d9e30fa5471c4e3c0d0abaebbc7a3fa908066f7984"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.1822",
    "kind": "arxiv",
    "version": 1
  }
}