Pith Number

pith:APINQWUQ

pith:2011:APINQWUQBX5SD4YJHGRHUEWYN7

not attested not anchored not stored refs pending

A Family of Unitary Operators Satisfying a Poisson-type Summation Formula

Dmitry Faifman

arxiv:1111.4660 v1 · 2011-11-20 · math.CA · 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{APINQWUQBX5SD4YJHGRHUEWYN7}

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	2026-05-18T04:08:02.877541Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

03d0d85a900dfb21f30939a27a12d86fd2b7a165cc4899aca6077292b5b7811b

Aliases

arxiv: 1111.4660 · arxiv_version: 1111.4660v1 · doi: 10.48550/arxiv.1111.4660 · pith_short_12: APINQWUQBX5S · pith_short_16: APINQWUQBX5SD4YJ · pith_short_8: APINQWUQ

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/APINQWUQBX5SD4YJHGRHUEWYN7 \
  | 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: 03d0d85a900dfb21f30939a27a12d86fd2b7a165cc4899aca6077292b5b7811b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7f5220f1684d94a6de6e1017d6513aad9bc6602975bbc133113fe0b7b06dd695",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2011-11-20T18:31:31Z",
    "title_canon_sha256": "09cb89f99f89bbe0bc2a2623fee6d114fd2e79aa27a0c5d56a5442bd12b40bdd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.4660",
    "kind": "arxiv",
    "version": 1
  }
}