Pith Number

pith:Q65ZHZX6

pith:2017:Q65ZHZX6JW67B77R3BNJ4DUJEC

not attested not anchored not stored refs pending

Integral estimates of conformal derivatives and spectral properties of the Neumann-Laplacian

Alexander Ukhlov, Valerii Pchelintsev, Vladimir Gol'dshtein

arxiv:1701.02616 v2 · 2017-01-10 · 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{Q65ZHZX6JW67B77R3BNJ4DUJEC}

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	2026-05-18T00:23:45.989962Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

87bb93e6fe4dbdf0fff1d85a9e0e8920a3f06ba0349ced60a34ef35fe3294fee

Aliases

arxiv: 1701.02616 · arxiv_version: 1701.02616v2 · doi: 10.48550/arxiv.1701.02616 · pith_short_12: Q65ZHZX6JW67 · pith_short_16: Q65ZHZX6JW67B77R · pith_short_8: Q65ZHZX6

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/Q65ZHZX6JW67B77R3BNJ4DUJEC \
  | 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: 87bb93e6fe4dbdf0fff1d85a9e0e8920a3f06ba0349ced60a34ef35fe3294fee

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "95efae47f80d63fd6f83fb1ac76e17018e092122602acd2d284e69649356ff44",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2017-01-10T14:46:01Z",
    "title_canon_sha256": "003498b397a7beb6b1f72b2e493616ef826f349942f8701d8cf5d886677ab868"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1701.02616",
    "kind": "arxiv",
    "version": 2
  }
}