Pith Number

pith:M4II5UOD

pith:2007:M4II5UODD7TNIKYVN7LXZOI2KN

not attested not anchored not stored refs pending

On a Calderon-Zygmund commutator-type estimate

J. Michael Wilson, Mirko Tarulli

arxiv:math/0702202 v1 · 2007-02-07 · math.FA · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{M4II5UODD7TNIKYVN7LXZOI2KN}

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	2026-05-18T01:38:23.294111Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

67108ed1c31fe6d42b156fd77cb91a5361615b307f8db0f16e7050295958a6a9

Aliases

arxiv: math/0702202 · arxiv_version: math/0702202v1 · doi: 10.48550/arxiv.math/0702202 · pith_short_12: M4II5UODD7TN · pith_short_16: M4II5UODD7TNIKYV · pith_short_8: M4II5UOD

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/M4II5UODD7TNIKYVN7LXZOI2KN \
  | 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: 67108ed1c31fe6d42b156fd77cb91a5361615b307f8db0f16e7050295958a6a9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ac7b0e4d73cc3cda2a2a697dd2309516ed34685c5722e656cab3d6bb8471597e",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math.FA",
    "submitted_at": "2007-02-07T20:37:26Z",
    "title_canon_sha256": "2cfb079de5a6814755bcb1382f6010fe710f2830e8c1acd8852d4eb43d462ab4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0702202",
    "kind": "arxiv",
    "version": 1
  }
}