Pith Number

pith:R7NQUOMQ

pith:1998:R7NQUOMQPFLMKKZ6BTHC5S6OWT

not attested not anchored not stored refs pending

Complex periodic potentials with real band spectra

Carl M. Bender, Gerald V. Dunne, Peter N. Meisinger

arxiv:cond-mat/9810369 v1 · 1998-10-27 · cond-mat · hep-th · 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{R7NQUOMQPFLMKKZ6BTHC5S6OWT}

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	2026-05-18T04:26:12.443747Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8fdb0a39907956c52b3e0cce2ecbceb4f7d49ef2160637b72212e4113e5d6a32

Aliases

arxiv: cond-mat/9810369 · arxiv_version: cond-mat/9810369v1 · doi: 10.48550/arxiv.cond-mat/9810369 · pith_short_12: R7NQUOMQPFLM · pith_short_16: R7NQUOMQPFLMKKZ6 · pith_short_8: R7NQUOMQ

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/R7NQUOMQPFLMKKZ6BTHC5S6OWT \
  | 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: 8fdb0a39907956c52b3e0cce2ecbceb4f7d49ef2160637b72212e4113e5d6a32

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3ea0ddf13d6e5db0f707ed06d17f025c8426d6af1697d854df58340042ba5008",
    "cross_cats_sorted": [
      "hep-th",
      "math-ph",
      "math.MP"
    ],
    "license": "",
    "primary_cat": "cond-mat",
    "submitted_at": "1998-10-27T15:24:26Z",
    "title_canon_sha256": "0a36000d12e5d1564e82f054909e879f8fbe39c58335b3fe392c63faba66c607"
  },
  "schema_version": "1.0",
  "source": {
    "id": "cond-mat/9810369",
    "kind": "arxiv",
    "version": 1
  }
}