Pith Number

pith:PV4XO4GI

pith:2011:PV4XO4GIWDZXFPSDCTMKDSTXIA

not attested not anchored not stored refs pending

On eigenvalues of the Schr\"odinger operator with an even complex-valued polynomial potential

Per Alexandersson

arxiv:1104.0593 v1 · 2011-04-04 · 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{PV4XO4GIWDZXFPSDCTMKDSTXIA}

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	2026-05-18T01:24:37.191491Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7d797770c8b0f372be4314d8a1ca774003411cd46597177e32d43cdf9c737b2d

Aliases

arxiv: 1104.0593 · arxiv_version: 1104.0593v1 · doi: 10.48550/arxiv.1104.0593 · pith_short_12: PV4XO4GIWDZX · pith_short_16: PV4XO4GIWDZXFPSD · pith_short_8: PV4XO4GI

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/PV4XO4GIWDZXFPSDCTMKDSTXIA \
  | 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: 7d797770c8b0f372be4314d8a1ca774003411cd46597177e32d43cdf9c737b2d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d217377f482f39f176589c04e05ea14593ee38bf6eb302764ed309484ae3cc2a",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2011-04-04T15:00:39Z",
    "title_canon_sha256": "37694710083e94ec63335153b4b5f83cd6a423e5b4c44f4263973ae3a8f54476"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.0593",
    "kind": "arxiv",
    "version": 1
  }
}