Pith Number

pith:34ISX7PO

pith:2017:34ISX7PONKVXY5F6EDKXSI5AUW

not attested not anchored not stored refs pending

Monotonicity of principal eigenvalue for elliptic operators with incompressible flow: A functional approach

Shuang Liu, Yuan Lou

arxiv:1709.05606 v2 · 2017-09-17 · math.AP · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{34ISX7PONKVXY5F6EDKXSI5AUW}

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	2026-05-18T00:34:54.485582Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

df112bfdee6aab7c74be20d57923a0a5ae54f238b5f41b03dadcaf97597cf1ce

Aliases

arxiv: 1709.05606 · arxiv_version: 1709.05606v2 · doi: 10.48550/arxiv.1709.05606 · pith_short_12: 34ISX7PONKVX · pith_short_16: 34ISX7PONKVXY5F6 · pith_short_8: 34ISX7PO

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/34ISX7PONKVXY5F6EDKXSI5AUW \
  | 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: df112bfdee6aab7c74be20d57923a0a5ae54f238b5f41b03dadcaf97597cf1ce

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "df54b5774c7b14bb72e1d5b202e4218576509568cf43b4b2b4a6efc6725b07ce",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2017-09-17T03:33:40Z",
    "title_canon_sha256": "9633a09863e80f4bd7335de4f65fe3f83d76254da5bacb86d02327cf490b3568"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1709.05606",
    "kind": "arxiv",
    "version": 2
  }
}