Pith Number

pith:HD73H6OB

pith:2011:HD73H6OB5FB5GVFQNE7POJ4JXG

not attested not anchored not stored refs pending

Regularity estimates in H\"older spaces for Schr\"odinger operators via a T1 theorem

Chao Zhang, J. L. Torrea, P. R. Stinga, Tao Ma

arxiv:1109.6156 v2 · 2011-09-28 · math.AP · 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{HD73H6OB5FB5GVFQNE7POJ4JXG}

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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	2026-05-18T03:46:15.261795Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

38ffb3f9c1e943d354b0693ef72789b986239da5b4c8a167fe5cebd321a000d0

Aliases

arxiv: 1109.6156 · arxiv_version: 1109.6156v2 · doi: 10.48550/arxiv.1109.6156 · pith_short_12: HD73H6OB5FB5 · pith_short_16: HD73H6OB5FB5GVFQ · pith_short_8: HD73H6OB

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/HD73H6OB5FB5GVFQNE7POJ4JXG \
  | 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: 38ffb3f9c1e943d354b0693ef72789b986239da5b4c8a167fe5cebd321a000d0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0d76c307b86f1a22e6438e4dfcbada9803767c4e2d1df54450d3f5e61b11ec62",
    "cross_cats_sorted": [
      "math.CA",
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2011-09-28T10:25:00Z",
    "title_canon_sha256": "698482e08d2d0ee1eda7f5f29e737abd7e9f00259a38ea20a493c5444a25c381"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.6156",
    "kind": "arxiv",
    "version": 2
  }
}