Pith Number

pith:WNTJENFH

pith:2019:WNTJENFHLLZCEYRSXESBHNXWBS

not attested not anchored not stored refs pending

Essential self-adjointness of perturbed quadharmonic operators on Riemannian manifolds with an application to the separation problem

Hemanth Saratchandran

arxiv:1904.07210 v1 · 2019-04-11 · math.DG · math.AP · math.FA · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WNTJENFHLLZCEYRSXESBHNXWBS}

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	2026-05-17T23:48:34.917162Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b3669234a75af2226232b92413b6f60caf7d0427c705c2119ceca7aa108f5966

Aliases

arxiv: 1904.07210 · arxiv_version: 1904.07210v1 · doi: 10.48550/arxiv.1904.07210 · pith_short_12: WNTJENFHLLZC · pith_short_16: WNTJENFHLLZCEYRS · pith_short_8: WNTJENFH

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/WNTJENFHLLZCEYRSXESBHNXWBS \
  | 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: b3669234a75af2226232b92413b6f60caf7d0427c705c2119ceca7aa108f5966

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b739e62d5170b0afcf031ffd1d97f25447dc6a319c310903c9e86061dff8a99b",
    "cross_cats_sorted": [
      "math.AP",
      "math.FA",
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2019-04-11T07:55:48Z",
    "title_canon_sha256": "ef7f67a7cd2bf386026ae61e05703f74b3fe6f1356a1f242427b400c80279e69"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1904.07210",
    "kind": "arxiv",
    "version": 1
  }
}