Pith Number

pith:32H625CT

pith:2015:32H625CTO75DWCGSTUBPHIZDMA

not attested not anchored not stored refs pending

Sharp $L^p$ estimates for discrete second order {R}iesz transforms

Komla Domelevo, Stefanie Petermichl

arxiv:1507.03796 v1 · 2015-07-14 · 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{32H625CTO75DWCGSTUBPHIZDMA}

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	2026-05-18T01:36:57.314681Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

de8fed745377fa3b08d29d02f3a323603277b395cc31f41e15a52bb6c1176549

Aliases

arxiv: 1507.03796 · arxiv_version: 1507.03796v1 · doi: 10.48550/arxiv.1507.03796 · pith_short_12: 32H625CTO75D · pith_short_16: 32H625CTO75DWCGS · pith_short_8: 32H625CT

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/32H625CTO75DWCGSTUBPHIZDMA \
  | 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: de8fed745377fa3b08d29d02f3a323603277b395cc31f41e15a52bb6c1176549

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "22faa117b71655f55d139d20b43f399446335804b265755d3dede83d4c03637a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2015-07-14T10:35:33Z",
    "title_canon_sha256": "cb605ed012533a94781f277ee54eb7f3c8156434b2cdfcc3de497f6b4a78a550"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.03796",
    "kind": "arxiv",
    "version": 1
  }
}