Pith Number

pith:QL7DIVZO

pith:2011:QL7DIVZOH23EE4FU7I6AIGJB2L

not attested not anchored not stored refs pending

Reconstruction of Paley-Wiener functions on the Heisenberg group

Isaac Pesenson

arxiv:1108.5628 v1 · 2011-08-29 · 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{QL7DIVZOH23EE4FU7I6AIGJB2L}

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	2026-05-18T04:14:37.121163Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

82fe34572e3eb64270b4fa3c041921d2db6278aeafb3ec9c72aae634551ecdfa

Aliases

arxiv: 1108.5628 · arxiv_version: 1108.5628v1 · doi: 10.48550/arxiv.1108.5628 · pith_short_12: QL7DIVZOH23E · pith_short_16: QL7DIVZOH23EE4FU · pith_short_8: QL7DIVZO

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/QL7DIVZOH23EE4FU7I6AIGJB2L \
  | 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: 82fe34572e3eb64270b4fa3c041921d2db6278aeafb3ec9c72aae634551ecdfa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "73f04b2879f065c0199f742a48161508e322e09187e690c8b0d0b8c024abb2b1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2011-08-29T16:16:55Z",
    "title_canon_sha256": "a2b4f5b8d679de07c9ddd85f7f577eb3e8653083fdaa63a31e21517acbf3a803"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.5628",
    "kind": "arxiv",
    "version": 1
  }
}