Pith Number

pith:DCOZ7VH5

pith:2008:DCOZ7VH56MDBBSPEDLDOGTAWJH

not attested not anchored not stored refs pending

Extra cancellation of even Calderon-Zygmund operators and quasiconformal mappings

Joan Mateu, Joan Orobitg, Joan Verdera

arxiv:0802.1185 v2 · 2008-02-08 · 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{DCOZ7VH56MDBBSPEDLDOGTAWJH}

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	2026-05-18T04:32:56.207121Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

189d9fd4fdf30610c9e41ac6e34c1649e8e74dc47b7832d5bd099145a6e00750

Aliases

arxiv: 0802.1185 · arxiv_version: 0802.1185v2 · doi: 10.48550/arxiv.0802.1185 · pith_short_12: DCOZ7VH56MDB · pith_short_16: DCOZ7VH56MDBBSPE · pith_short_8: DCOZ7VH5

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/DCOZ7VH56MDBBSPEDLDOGTAWJH \
  | 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: 189d9fd4fdf30610c9e41ac6e34c1649e8e74dc47b7832d5bd099145a6e00750

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "91cc102aa1581b7e5cd3131d0f11f7a616423ed778e32a371270c99a8e796dca",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2008-02-08T17:24:52Z",
    "title_canon_sha256": "70c7e9027da0755b1dfd73871397d86ecc5332b3bb92c1dfb52c6ab4454a90e4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0802.1185",
    "kind": "arxiv",
    "version": 2
  }
}