Pith Number

pith:YVZ3X3D4

pith:2016:YVZ3X3D42CZZXU3UDHU4NODK5T

not attested not anchored not stored refs pending

On Dirac operators with electrostatic \delta-shell interactions of critical strength

Jussi Behrndt, Markus Holzmann

arxiv:1612.02290 v3 · 2016-12-07 · math.SP · 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{YVZ3X3D42CZZXU3UDHU4NODK5T}

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	2026-05-18T00:31:13.595672Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c573bbec7cd0b39bd37419e9c6b86aecf957c66834e1cbd2e0ff4206c2bfecc3

Aliases

arxiv: 1612.02290 · arxiv_version: 1612.02290v3 · doi: 10.48550/arxiv.1612.02290 · pith_short_12: YVZ3X3D42CZZ · pith_short_16: YVZ3X3D42CZZXU3U · pith_short_8: YVZ3X3D4

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/YVZ3X3D42CZZXU3UDHU4NODK5T \
  | 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: c573bbec7cd0b39bd37419e9c6b86aecf957c66834e1cbd2e0ff4206c2bfecc3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fe268bbdeef5c6f30af4b3a13faaaa6a8c4c351884114af72b227e7e8b34a883",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2016-12-07T15:28:50Z",
    "title_canon_sha256": "552692b701ae6579359fbf7ac79ce0c519d494917c7845b823405ee1a29f0cc8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.02290",
    "kind": "arxiv",
    "version": 3
  }
}