Pith Number

pith:GMEU6RMP

pith:2012:GMEU6RMPQHEEMWYKLBRDWP26ET

not attested not anchored not stored refs pending

PT phase transition in multidimensional quantum systems

Carl M. Bender, David J. Weir

arxiv:1206.5100 v1 · 2012-06-22 · quant-ph · hep-th · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GMEU6RMPQHEEMWYKLBRDWP26ET}

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.

Cited by

2 papers in Pith

Exact WKB analysis of inverted triple-well: resonance, PT-symmetry breaking, and resurgence

Receipt and verification

First computed	2026-05-18T03:43:40.071630Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

33094f458f81c8465b0a58623b3f5e24db57b78105cf1ca49440ad6d5f0f24ac

Aliases

arxiv: 1206.5100 · arxiv_version: 1206.5100v1 · doi: 10.48550/arxiv.1206.5100 · pith_short_12: GMEU6RMPQHEE · pith_short_16: GMEU6RMPQHEEMWYK · pith_short_8: GMEU6RMP

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/GMEU6RMPQHEEMWYKLBRDWP26ET \
  | 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: 33094f458f81c8465b0a58623b3f5e24db57b78105cf1ca49440ad6d5f0f24ac

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "afae5ff4066ea44dfb1dba2b8d2e10b128e4853ca717621b820f4e55ae07a478",
    "cross_cats_sorted": [
      "hep-th",
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2012-06-22T10:18:06Z",
    "title_canon_sha256": "f5e1574e5c012cbc371fee9beb440c3359fe10eddeebe233ba5ef9f41f2d7251"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.5100",
    "kind": "arxiv",
    "version": 1
  }
}