Pith Number

pith:2B5YBAAK

pith:2016:2B5YBAAKKHQIG6WN7B7Z7SM2BX

not attested not anchored not stored refs pending

A new family of singular integral operators whose $L^2$-boundedness implies rectifiability

Petr Chunaev

arxiv:1601.07319 v2 · 2016-01-27 · 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{2B5YBAAKKHQIG6WN7B7Z7SM2BX}

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	2026-05-18T00:32:51.328311Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d07b80800a51e0837acdf87f9fc99a0dd45b27d3de01cfc18344eead57d86c45

Aliases

arxiv: 1601.07319 · arxiv_version: 1601.07319v2 · doi: 10.48550/arxiv.1601.07319 · pith_short_12: 2B5YBAAKKHQI · pith_short_16: 2B5YBAAKKHQIG6WN · pith_short_8: 2B5YBAAK

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/2B5YBAAKKHQIG6WN7B7Z7SM2BX \
  | 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: d07b80800a51e0837acdf87f9fc99a0dd45b27d3de01cfc18344eead57d86c45

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "606d2f05abca7743eca2e4d92c06477176a12316e6ee5332bf2104ddb6188d23",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2016-01-27T10:32:43Z",
    "title_canon_sha256": "939624bde7f9127307f031c35e4db942d6ff2fb3613be538fb07a390538d516d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.07319",
    "kind": "arxiv",
    "version": 2
  }
}