Pith Number

pith:RO5T3SZC

pith:2013:RO5T3SZCT7JACLCPALTJIW7DPF

not attested not anchored not stored refs pending

Calderon Reproducing Formulas and Applications to Hardy Spaces

Alan Mcintosh (CMA), Andrew Morris (MI), Pascal Auscher (LM-Orsay)

arxiv:1304.0168 v1 · 2013-03-31 · math.CA · math.AP · math.DG · math.FA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RO5T3SZCT7JACLCPALTJIW7DPF}

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	2026-05-18T03:29:25.836729Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8bbb3dcb229fd2012c4f02e6945be37966cba0fe2870bf4336276316fd7e5412

Aliases

arxiv: 1304.0168 · arxiv_version: 1304.0168v1 · doi: 10.48550/arxiv.1304.0168 · pith_short_12: RO5T3SZCT7JA · pith_short_16: RO5T3SZCT7JACLCP · pith_short_8: RO5T3SZC

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/RO5T3SZCT7JACLCPALTJIW7DPF \
  | 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: 8bbb3dcb229fd2012c4f02e6945be37966cba0fe2870bf4336276316fd7e5412

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a60326dc258d3a292fc5b7f183676b6d4a293b2ca8fd022368f9ea02160a91ff",
    "cross_cats_sorted": [
      "math.AP",
      "math.DG",
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2013-03-31T08:58:04Z",
    "title_canon_sha256": "7bec64bfefff4fa3baf39bbd84718307530aa7665ab46d24e0cb354daf9333bb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.0168",
    "kind": "arxiv",
    "version": 1
  }
}