Pith Number

pith:2TPMP5XK

pith:2018:2TPMP5XKENJASSEE4MNVY3L6BU

not attested not anchored not stored refs pending

On Conformal Spectral Gap Estimates of the Dirichlet-Laplacian

A. Ukhlov, V. Gol'dshtein, V. Pchelintsev

arxiv:1811.08285 v1 · 2018-11-20 · 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{2TPMP5XKENJASSEE4MNVY3L6BU}

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	2026-05-18T00:00:14.423226Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d4dec7f6ea2352094884e31b5c6d7e0d0862978eb237462db1281d6cfec315c1

Aliases

arxiv: 1811.08285 · arxiv_version: 1811.08285v1 · doi: 10.48550/arxiv.1811.08285 · pith_short_12: 2TPMP5XKENJA · pith_short_16: 2TPMP5XKENJASSEE · pith_short_8: 2TPMP5XK

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/2TPMP5XKENJASSEE4MNVY3L6BU \
  | 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: d4dec7f6ea2352094884e31b5c6d7e0d0862978eb237462db1281d6cfec315c1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9c5b4f2b85b97c83e4d2e6da4916f817fb451d08f3dd699f52a6f2a35be3b93b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-11-20T14:47:54Z",
    "title_canon_sha256": "78fbe0ba8a1c240207f1c8470a4b6754924aa5c27ca2386228d218c31809fad3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1811.08285",
    "kind": "arxiv",
    "version": 1
  }
}