Pith Number

pith:UTEU7DD4

pith:2013:UTEU7DD42UNDA3QGEP2IZV37RU

not attested not anchored not stored refs pending

Lower bound for the geometric type from a generalized estimate in the $\dib$-Neumann problem - a new approach by peak functions

Tran Vu Khanh

arxiv:1302.0791 v1 · 2013-02-04 · 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{UTEU7DD42UNDA3QGEP2IZV37RU}

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	2026-05-18T00:46:22.764895Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a4c94f8c7cd51a306e0623f48cd77f8d00e0380b412e1507ed5f0f748c81b427

Aliases

arxiv: 1302.0791 · arxiv_version: 1302.0791v1 · doi: 10.48550/arxiv.1302.0791 · pith_short_12: UTEU7DD42UND · pith_short_16: UTEU7DD42UNDA3QG · pith_short_8: UTEU7DD4

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/UTEU7DD42UNDA3QGEP2IZV37RU \
  | 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: a4c94f8c7cd51a306e0623f48cd77f8d00e0380b412e1507ed5f0f748c81b427

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0a6a292a3f521f286c2eb0dfca898ca982ff4d0211e83e04fdef9e5b09ff63bf",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2013-02-04T18:39:22Z",
    "title_canon_sha256": "caa72bf6673babf396b798865d8cabd31168c2bd0ced33d3832ab060a0052a39"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.0791",
    "kind": "arxiv",
    "version": 1
  }
}