Pith Number

pith:LTB64HFT

pith:2013:LTB64HFTY7QFMPDB6SHAJKBWCO

not attested not anchored not stored refs pending

Commutator Estimates for the Dirichlet-to-Neumann Map in Lipschitz Domains

Zhongwei Shen

arxiv:1308.6226 v1 · 2013-08-28 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LTB64HFTY7QFMPDB6SHAJKBWCO}

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	2026-05-18T03:14:48.782327Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5cc3ee1cb3c7e0563c61f48e04a83613a275c96d464e58c4a3e57e8a635193f1

Aliases

arxiv: 1308.6226 · arxiv_version: 1308.6226v1 · doi: 10.48550/arxiv.1308.6226 · pith_short_12: LTB64HFTY7QF · pith_short_16: LTB64HFTY7QFMPDB · pith_short_8: LTB64HFT

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/LTB64HFTY7QFMPDB6SHAJKBWCO \
  | 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: 5cc3ee1cb3c7e0563c61f48e04a83613a275c96d464e58c4a3e57e8a635193f1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fe0bdff3deae21e47324b325fcbd628a29bab70f6c9f55fbaaa5799ac9d42509",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-08-28T17:42:07Z",
    "title_canon_sha256": "7420f3cd3e1f07a2208543547058dd400a743e9711fb08480d143c1851838855"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.6226",
    "kind": "arxiv",
    "version": 1
  }
}