Pith Number

pith:BMGJ6JFP

pith:2015:BMGJ6JFPHHP5O7J7GVOKW6VYXE

not attested not anchored not stored refs pending

Level Crossings in a PT-symmetric Double Well

Riccardo Giachetti, Vincenzo Grecchi

arxiv:1506.01637 v1 · 2015-06-04 · math-ph · math.MP · quant-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BMGJ6JFPHHP5O7J7GVOKW6VYXE}

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	2026-05-18T01:20:46.213377Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0b0c9f24af39dfd77d3f355cab7ab8b917a9b8084e64fb203f3a855c8ab502e4

Aliases

arxiv: 1506.01637 · arxiv_version: 1506.01637v1 · doi: 10.48550/arxiv.1506.01637 · pith_short_12: BMGJ6JFPHHP5 · pith_short_16: BMGJ6JFPHHP5O7J7 · pith_short_8: BMGJ6JFP

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/BMGJ6JFPHHP5O7J7GVOKW6VYXE \
  | 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: 0b0c9f24af39dfd77d3f355cab7ab8b917a9b8084e64fb203f3a855c8ab502e4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9c2bcd8d19cf8a92742627e9f107aec4b7fa655122d360e684c9e595a48e8a61",
    "cross_cats_sorted": [
      "math.MP",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2015-06-04T16:18:22Z",
    "title_canon_sha256": "44745208476514dc0e8b829a8449f5e3685f96d930b7cc45186a20caa10c0b67"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.01637",
    "kind": "arxiv",
    "version": 1
  }
}