Pith Number

pith:3PIVORCY

pith:2016:3PIVORCYMSE2MXL6X2ICLRWMEL

not attested not anchored not stored refs pending

Essential self-adjointness of powers of first-order differential operators on non-compact manifolds with low-regularity metrics

Hemanth Saratchandran, Lashi Bandara

arxiv:1606.06190 v2 · 2016-06-20 · math.FA · math.AP · math.DG · 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{3PIVORCYMSE2MXL6X2ICLRWMEL}

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	2026-05-17T23:41:37.541976Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dbd15744586489a65d7ebe9025c6cc22eb3d94f640210b0077d600abe5755f5d

Aliases

arxiv: 1606.06190 · arxiv_version: 1606.06190v2 · doi: 10.48550/arxiv.1606.06190 · pith_short_12: 3PIVORCYMSE2 · pith_short_16: 3PIVORCYMSE2MXL6 · pith_short_8: 3PIVORCY

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/3PIVORCYMSE2MXL6X2ICLRWMEL \
  | 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: dbd15744586489a65d7ebe9025c6cc22eb3d94f640210b0077d600abe5755f5d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f48f1383b1bdcbf0a2ea532ae076da860665c456a1264e2df8b54dd33ee2b132",
    "cross_cats_sorted": [
      "math.AP",
      "math.DG",
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2016-06-20T16:03:12Z",
    "title_canon_sha256": "9292a8da63c349c70c919ea12a30e8ea5d3052d5f9a2d35c040f5a353b28d706"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.06190",
    "kind": "arxiv",
    "version": 2
  }
}