Pith Number

pith:LUCMDARB

pith:2016:LUCMDARBRT737V4XM4NAMWIQJB

not attested not anchored not stored refs pending

Convolution Operators with Singular Measures of Fractional Type on the Heisenberg Group

Pablo Rocha, Tom\'as Godoy

arxiv:1612.06467 v1 · 2016-12-20 · 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{LUCMDARBRT737V4XM4NAMWIQJB}

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	2026-05-18T00:53:45.744270Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5d04c182218cffbfd797671a06591048489ec6d584f36a8201080716440c9f77

Aliases

arxiv: 1612.06467 · arxiv_version: 1612.06467v1 · doi: 10.48550/arxiv.1612.06467 · pith_short_12: LUCMDARBRT73 · pith_short_16: LUCMDARBRT737V4X · pith_short_8: LUCMDARB

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/LUCMDARBRT737V4XM4NAMWIQJB \
  | 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: 5d04c182218cffbfd797671a06591048489ec6d584f36a8201080716440c9f77

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "57dd4e112a779b7691f17989bfb7d7f8b14cd388777c8134e207c6a6b3714a3f",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/publicdomain/zero/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2016-12-20T00:40:37Z",
    "title_canon_sha256": "4314117d2abfdfb7aeb37f781024f1e4f7277e849e2595603d67b739f016d325"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.06467",
    "kind": "arxiv",
    "version": 1
  }
}