Pith Number

pith:PBPVVXGP

pith:2008:PBPVVXGPTSHAM63FVA66VZCN5L

not attested not anchored not stored refs pending

Uniform rectifiability, Calderon-Zygmund operators with odd kernel, and quasiorthogonality

Xavier Tolsa

arxiv:0805.1053 v1 · 2008-05-07 · math.CA · 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{PBPVVXGPTSHAM63FVA66VZCN5L}

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	2026-05-18T02:58:11.552647Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

785f5adccf9c8e067b65a83deae44deaff55d79d33546d89f8abcc430cec33c5

Aliases

arxiv: 0805.1053 · arxiv_version: 0805.1053v1 · doi: 10.48550/arxiv.0805.1053 · pith_short_12: PBPVVXGPTSHA · pith_short_16: PBPVVXGPTSHAM63F · pith_short_8: PBPVVXGP

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/PBPVVXGPTSHAM63FVA66VZCN5L \
  | 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: 785f5adccf9c8e067b65a83deae44deaff55d79d33546d89f8abcc430cec33c5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a4a6fffea517a6f188d5fbb7f8a84447e03c83952e09c8707c96c7c54f82a23c",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2008-05-07T20:14:09Z",
    "title_canon_sha256": "2c2b364c36213dad273a9d0d167a08ee22f0885291bd72ba4a1463d9d0a2e4c4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0805.1053",
    "kind": "arxiv",
    "version": 1
  }
}