Pith Number

pith:MDOUU7BH

pith:2017:MDOUU7BHOJBM4VCO3ZGVK46J75

not attested not anchored not stored refs pending

Eigenvalue and Eigenfunction for the $PT$-symmetric Potential $V = - (ix)^N$

Andrei Frolov, Cheng Tang

arxiv:1701.07180 v2 · 2017-01-25 · 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{MDOUU7BHOJBM4VCO3ZGVK46J75}

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	2026-05-18T00:49:57.621829Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

60dd4a7c277242ce544ede4d5573c9ff57ef21dbd5ddfebb3fc9151785d10d68

Aliases

arxiv: 1701.07180 · arxiv_version: 1701.07180v2 · doi: 10.48550/arxiv.1701.07180 · pith_short_12: MDOUU7BHOJBM · pith_short_16: MDOUU7BHOJBM4VCO · pith_short_8: MDOUU7BH

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/MDOUU7BHOJBM4VCO3ZGVK46J75 \
  | 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: 60dd4a7c277242ce544ede4d5573c9ff57ef21dbd5ddfebb3fc9151785d10d68

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "140984c96d5bfcbf4d3814758efbc4e7084325fef43dbd0da0471bebbf87c4f0",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2017-01-25T06:51:11Z",
    "title_canon_sha256": "b5911a06de91355bcfafb17898e07aa6f1ddfe51661415d97d4b327e8cc31691"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1701.07180",
    "kind": "arxiv",
    "version": 2
  }
}