Pith Number

pith:DA3KGYK5

pith:2013:DA3KGYK5LY3WI3XGSS4DXGVXRI

not attested not anchored not stored refs pending

Reflectionless measures for Calder\'{o}n-Zygmund operators

Benjamin Jaye, Fedor Nazarov

arxiv:1309.6661 v1 · 2013-09-25 · math.AP · 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{DA3KGYK5LY3WI3XGSS4DXGVXRI}

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	2026-05-18T03:12:10.970603Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1836a3615d5e37646ee694b83b9ab78a012dd69ef3ffdd47ceec29675aafbcd9

Aliases

arxiv: 1309.6661 · arxiv_version: 1309.6661v1 · doi: 10.48550/arxiv.1309.6661 · pith_short_12: DA3KGYK5LY3W · pith_short_16: DA3KGYK5LY3WI3XG · pith_short_8: DA3KGYK5

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/DA3KGYK5LY3WI3XGSS4DXGVXRI \
  | 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: 1836a3615d5e37646ee694b83b9ab78a012dd69ef3ffdd47ceec29675aafbcd9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ab0ab3f195f663c98377267375c0170c7b89d62a971ae00295788e148c6b766a",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-09-25T20:59:16Z",
    "title_canon_sha256": "9ed0f6821335e6db048ccc4bb12fb12d5ce03f68db60edf6acbbbe6687d39daf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.6661",
    "kind": "arxiv",
    "version": 1
  }
}