Pith Number

pith:OPZHHYJW

pith:2005:OPZHHYJWH7LRTP623SGJQPKZL5

not attested not anchored not stored refs pending

Fourier transform of a Gaussian measure on the Heisenberg group

Gyula Pap, Matyas Barczy

arxiv:math/0511016 v2 · 2005-11-01 · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OPZHHYJWH7LRTP623SGJQPKZL5}

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	2026-05-18T01:38:24.718330Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

73f273e1363fd719bfdadc8c983d595f718b9186db3e0b260919c35bf0a9b9e7

Aliases

arxiv: math/0511016 · arxiv_version: math/0511016v2 · doi: 10.48550/arxiv.math/0511016 · pith_short_12: OPZHHYJWH7LR · pith_short_16: OPZHHYJWH7LRTP62 · pith_short_8: OPZHHYJW

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/OPZHHYJWH7LRTP623SGJQPKZL5 \
  | 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: 73f273e1363fd719bfdadc8c983d595f718b9186db3e0b260919c35bf0a9b9e7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0e1a73f3bf0998420d8c24bfbe00101547b2aa3761570b05c5791b51b8cec0b2",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.PR",
    "submitted_at": "2005-11-01T10:20:17Z",
    "title_canon_sha256": "dcab1b8c5f25a84bfaa2e4b70039439f832dbeacfbbd4dd1c59b7f69b6873e0a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0511016",
    "kind": "arxiv",
    "version": 2
  }
}