Pith Number

pith:PJETIL2X

pith:2016:PJETIL2XZUYM5ELAEBCOTG4W34

not attested not anchored not stored refs pending

On the spectral properties of the Schrodinger operator with a periodic PT-symmetric potential

O. A. Veliev

arxiv:1609.05786 v4 · 2016-09-19 · 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{PJETIL2XZUYM5ELAEBCOTG4W34}

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	2026-05-18T00:33:02.359332Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7a49342f57cd30ce91602044e99b96df05b12c2b3bf384c6f48572ef3bae5ef1

Aliases

arxiv: 1609.05786 · arxiv_version: 1609.05786v4 · doi: 10.48550/arxiv.1609.05786 · pith_short_12: PJETIL2XZUYM · pith_short_16: PJETIL2XZUYM5ELA · pith_short_8: PJETIL2X

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/PJETIL2XZUYM5ELAEBCOTG4W34 \
  | 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: 7a49342f57cd30ce91602044e99b96df05b12c2b3bf384c6f48572ef3bae5ef1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "21f8cc867091fdd91d50b965e5311d4f6137ff08accf9da9baafa5ce6b6ce8bd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2016-09-19T15:31:54Z",
    "title_canon_sha256": "016e13ef6b9983226341e0ca5bccad0b839f58cc631140363d6e4255bcf8a70e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.05786",
    "kind": "arxiv",
    "version": 4
  }
}