Pith Number

pith:BOFHNJAB

pith:2017:BOFHNJAB6X3BSLIROD47NJZIRF

not attested not anchored not stored refs pending

Sobolev inequalities for Neumann Laplacians on half spaces

Alexander I. Nazarov, Roberta Musina

arxiv:1708.01567 v2 · 2017-08-04 · 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{BOFHNJAB6X3BSLIROD47NJZIRF}

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	2026-05-18T00:22:10.791347Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0b8a76a401f5f6192d1170f9f6a728894562fb1a8b99a8184bdab8c7b96e3cd6

Aliases

arxiv: 1708.01567 · arxiv_version: 1708.01567v2 · doi: 10.48550/arxiv.1708.01567 · pith_short_12: BOFHNJAB6X3B · pith_short_16: BOFHNJAB6X3BSLIR · pith_short_8: BOFHNJAB

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/BOFHNJAB6X3BSLIROD47NJZIRF \
  | 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: 0b8a76a401f5f6192d1170f9f6a728894562fb1a8b99a8184bdab8c7b96e3cd6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "42a2e11c7cab425421f94b9a2c99dcd86dcac1959fb12152b04e271cef503b23",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2017-08-04T16:05:14Z",
    "title_canon_sha256": "33f6c5fb849b2eb402ec908c06200abdcd06c6b067182a947459daa94209cb41"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.01567",
    "kind": "arxiv",
    "version": 2
  }
}