Pith Number

pith:SATKRK24

pith:2010:SATKRK24VJTAOLAAEM3Y4B22MY

not attested not anchored not stored refs pending

Potential maps, Hardy spaces, and tent spaces on special Lipschitz domains

Alan McIntosh, Martin Costabel, Robert J. Taggart

arxiv:1006.0562 v2 · 2010-06-03 · 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{SATKRK24VJTAOLAAEM3Y4B22MY}

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	2026-05-18T04:02:01.069729Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9026a8ab5caa66072c0023378e075a6633451acade2f334e194a704eccc3eaa8

Aliases

arxiv: 1006.0562 · arxiv_version: 1006.0562v2 · doi: 10.48550/arxiv.1006.0562 · pith_short_12: SATKRK24VJTA · pith_short_16: SATKRK24VJTAOLAA · pith_short_8: SATKRK24

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/SATKRK24VJTAOLAAEM3Y4B22MY \
  | 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: 9026a8ab5caa66072c0023378e075a6633451acade2f334e194a704eccc3eaa8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c3c0a4f360f7f49e274936853335cebad5bdb48442eb30ee65d7df683f61c266",
    "cross_cats_sorted": [
      "math.DG",
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2010-06-03T07:02:33Z",
    "title_canon_sha256": "4a4d61fea1a2f48bf3b62ca799b6eb3f0ed6659e2eb00ee43674e26dd6d7d2cc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1006.0562",
    "kind": "arxiv",
    "version": 2
  }
}