Pith Number

pith:FRZDXMTH

pith:2026:FRZDXMTHV3C5SZDOT73IXVFG4H

not attested not anchored not stored refs pending

Analytical connection between exact and approximate solutions of the periodically-driven two-level system starting from the Heun equation

Bassano Vacchini, Pietro Follia

arxiv:2607.01030 v1 · 2026-07-01 · quant-ph · 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{FRZDXMTHV3C5SZDOT73IXVFG4H}

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	2026-07-02T01:18:26.521211Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2c723bb267aec5d9646e9ff68bd4a6e1d5d6682ec16bb4f6624185a988104c95

Aliases

arxiv: 2607.01030 · arxiv_version: 2607.01030v1 · doi: 10.48550/arxiv.2607.01030 · pith_short_12: FRZDXMTHV3C5 · pith_short_16: FRZDXMTHV3C5SZDO · pith_short_8: FRZDXMTH

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/FRZDXMTHV3C5SZDOT73IXVFG4H \
  | 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: 2c723bb267aec5d9646e9ff68bd4a6e1d5d6682ec16bb4f6624185a988104c95

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "515b89904c87214fdd07651c1fa8e535d6b9d50c3148342d313755c448e0c718",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2026-07-01T15:00:01Z",
    "title_canon_sha256": "09614ddd6453d0e5e3ea4a811e6997624d8ec56241b4b8a8a50b45fd6e2ca0de"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.01030",
    "kind": "arxiv",
    "version": 1
  }
}