Pith Number

pith:F2RYYPK2

pith:2014:F2RYYPK2T2CDQAZ37LVD3KDZHP

not attested not anchored not stored refs pending

On the spectrum of non-selfadjoint Schr\"odinger operators with compact resolvent

Bernard Helffer, Yaniv Almog

arxiv:1410.5122 v1 · 2014-10-19 · 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{F2RYYPK2T2CDQAZ37LVD3KDZHP}

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	2026-05-18T02:39:46.854042Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2ea38c3d5a9e8438033bfaea3da8793bfb193a2467748358bc7d1c1bdc301d94

Aliases

arxiv: 1410.5122 · arxiv_version: 1410.5122v1 · doi: 10.48550/arxiv.1410.5122 · pith_short_12: F2RYYPK2T2CD · pith_short_16: F2RYYPK2T2CDQAZ3 · pith_short_8: F2RYYPK2

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/F2RYYPK2T2CDQAZ37LVD3KDZHP \
  | 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: 2ea38c3d5a9e8438033bfaea3da8793bfb193a2467748358bc7d1c1bdc301d94

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1deb89bea9da9caeebbcf5f548bcb9fe2a98400e31f684865833a34cd9753270",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2014-10-19T23:01:39Z",
    "title_canon_sha256": "dbc6f1c652d56df4863d271be2b39bf34b3dc6ed452bd68569f22c7ea1025e70"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1410.5122",
    "kind": "arxiv",
    "version": 1
  }
}