Pith Number

pith:YS2AP3MC

pith:2010:YS2AP3MC4B3CXCZ7KRRI74VZOL

not attested not anchored not stored refs pending

Necessary geometric and analytic conditions for general estimates in the $\dib$-Neumann problem

Giuseppe Zampieri, T.V. Khanh

arxiv:1011.1046 v1 · 2010-11-04 · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YS2AP3MC4B3CXCZ7KRRI74VZOL}

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	2026-05-18T04:37:09.725968Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c4b407ed82e0762b8b3f54628ff2b972c58fb5fb6f4f9cf15e9e823a6e8f0fa5

Aliases

arxiv: 1011.1046 · arxiv_version: 1011.1046v1 · doi: 10.48550/arxiv.1011.1046 · pith_short_12: YS2AP3MC4B3C · pith_short_16: YS2AP3MC4B3CXCZ7 · pith_short_8: YS2AP3MC

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/YS2AP3MC4B3CXCZ7KRRI74VZOL \
  | 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: c4b407ed82e0762b8b3f54628ff2b972c58fb5fb6f4f9cf15e9e823a6e8f0fa5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4857c20e58429cf623444e2685c317b5841c76b30d79002b2c67a0b736e74e40",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2010-11-04T01:28:53Z",
    "title_canon_sha256": "6b4e031270af282500e04bb8b36a0724ef57a6e2450de8d78cb452cab9a18886"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.1046",
    "kind": "arxiv",
    "version": 1
  }
}