Pith Number

pith:NFPMONPB

pith:2026:NFPMONPBZPNZ4WB6IRVO2DHU6H

not attested not anchored not stored refs pending

Semiclassical Schr\"odinger operators with purely imaginary potential

Jean-Francois Bony, Laurent Michel, Victor Arnaiz

arxiv:2607.07301 v1 · 2026-07-08 · math.AP · math-ph · math.MP · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NFPMONPBZPNZ4WB6IRVO2DHU6H}

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	2026-07-09T01:20:20.397494Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

695ec735e1cbdb9e583e446aed0cf4f1c9abd356eea134a4cd63bebb86c434fc

Aliases

arxiv: 2607.07301 · arxiv_version: 2607.07301v1 · doi: 10.48550/arxiv.2607.07301 · pith_short_12: NFPMONPBZPNZ · pith_short_16: NFPMONPBZPNZ4WB6 · pith_short_8: NFPMONPB

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/NFPMONPBZPNZ4WB6IRVO2DHU6H \
  | 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: 695ec735e1cbdb9e583e446aed0cf4f1c9abd356eea134a4cd63bebb86c434fc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cd18a6591e6f3d6615b6c96cc167a8435323f53b5f2fc320f4de48b1ac92173b",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2026-07-08T11:43:00Z",
    "title_canon_sha256": "c2e7f4c94e6704fea70f9f94e13036f416e48500f97ed859c4cfe6727aeafcd1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.07301",
    "kind": "arxiv",
    "version": 1
  }
}