Pith Number

pith:NBJSNIP5

pith:2012:NBJSNIP5JY5WPFNDBVRJN6XFK7

not attested not anchored not stored refs pending

WKB Analysis of PT-Symmetric Sturm-Liouville problems. II

Carl M. Bender, Hugh F. Jones

arxiv:1203.5702 v1 · 2012-03-26 · hep-th · math-ph · math.MP · quant-ph

Open paper page JSON Open Graph Bundle Merged state What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NBJSNIP5JY5WPFNDBVRJN6XFK7}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-18T03:23:11.356327Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

685326a1fd4e3b6795a30d6296fae557f6a68ccc3c5c8e82b1b326ae9cf03d5c

Aliases

arxiv: 1203.5702 · arxiv_version: 1203.5702v1 · doi: 10.48550/arxiv.1203.5702 · pith_short_12: NBJSNIP5JY5W · pith_short_16: NBJSNIP5JY5WPFND · pith_short_8: NBJSNIP5

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/NBJSNIP5JY5WPFNDBVRJN6XFK7 \
  | 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: 685326a1fd4e3b6795a30d6296fae557f6a68ccc3c5c8e82b1b326ae9cf03d5c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9c7cb7116d79f26064a59d4ab4a42a7c93d3779a609b44f824a71b3f9ac7cfd4",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2012-03-26T15:46:57Z",
    "title_canon_sha256": "6912b5a0d8912bdcb8cf319478bd7cfeddac6a517bab90b4a96db4adabaf63a6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.5702",
    "kind": "arxiv",
    "version": 1
  }
}