Pith Number

pith:Y7ZGEQK2

pith:2009:Y7ZGEQK2I44MCT53U4NMITRMFZ

not attested not anchored not stored refs pending

Non-homogeneous Tb theorem and random dyadic cubes on metric measure spaces

Henri Martikainen, Tuomas Hyt\"onen

arxiv:0911.4387 v1 · 2009-11-23 · math.FA · 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{Y7ZGEQK2I44MCT53U4NMITRMFZ}

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	2026-05-18T03:36:46.954380Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c7f262415a4738c14fbba71ac44e2c2e5f708bb10e49f8ea9b5e08eca3ec16af

Aliases

arxiv: 0911.4387 · arxiv_version: 0911.4387v1 · doi: 10.48550/arxiv.0911.4387 · pith_short_12: Y7ZGEQK2I44M · pith_short_16: Y7ZGEQK2I44MCT53 · pith_short_8: Y7ZGEQK2

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/Y7ZGEQK2I44MCT53U4NMITRMFZ \
  | 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: c7f262415a4738c14fbba71ac44e2c2e5f708bb10e49f8ea9b5e08eca3ec16af

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e64665bfb78c789a96b27185812ac39ec0932693bc13159bf6ccf9d22992acb3",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2009-11-23T12:43:52Z",
    "title_canon_sha256": "f1db05c1df0c9b630697e3b50927501a5e7fa26ba578b8c5dc203b9b07dfeee2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0911.4387",
    "kind": "arxiv",
    "version": 1
  }
}