Pith Number

pith:AUW7JWAU

pith:2016:AUW7JWAUDQSERJJIE4DUHQZKMY

not attested not anchored not stored refs pending

Lp-Lq estimates of some convolution operators with singular measures on the Heisenberg group

Pablo Rocha, Tomas Godoy

arxiv:1607.01071 v1 · 2016-07-04 · 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{AUW7JWAUDQSERJJIE4DUHQZKMY}

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	2026-05-18T01:11:30.217668Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

052df4d8141c2448a528270743c32a6621330a62d293b8f32759afdbc4a8d557

Aliases

arxiv: 1607.01071 · arxiv_version: 1607.01071v1 · doi: 10.48550/arxiv.1607.01071 · pith_short_12: AUW7JWAUDQSE · pith_short_16: AUW7JWAUDQSERJJI · pith_short_8: AUW7JWAU

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/AUW7JWAUDQSERJJIE4DUHQZKMY \
  | 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: 052df4d8141c2448a528270743c32a6621330a62d293b8f32759afdbc4a8d557

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3771a66ad8eeff8a6fc1009d1afb1bb0eacb9602698fb681b55f84a6a5e370c4",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/publicdomain/zero/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2016-07-04T23:08:46Z",
    "title_canon_sha256": "a7aea764e1effd042a2012ec461b2c60c6917249e5d171e32fc77db6477dbcae"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.01071",
    "kind": "arxiv",
    "version": 1
  }
}