Pith Number

pith:53TNQ34D

pith:2026:53TNQ34DY7HJJODPP43KVTYOQS

not attested not anchored not stored refs pending

Exactly solved Schr\"odinger equations with time-dependent Hamiltonians

Ant\^onio Francisco Neto, Christian Joachim, Michael Warnock, Omid Faizy, Pierre-Louis Giscard

arxiv:2607.08450 v1 · 2026-07-09 · 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{53TNQ34DY7HJJODPP43KVTYOQS}

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	2026-07-10T01:19:50.985653Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eee6d86f83c7ce94b86f7f36aacf0e84be8081216b6a1d959912769400b1a818

Aliases

arxiv: 2607.08450 · arxiv_version: 2607.08450v1 · doi: 10.48550/arxiv.2607.08450 · pith_short_12: 53TNQ34DY7HJ · pith_short_16: 53TNQ34DY7HJJODP · pith_short_8: 53TNQ34D

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/53TNQ34DY7HJJODPP43KVTYOQS \
  | 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: eee6d86f83c7ce94b86f7f36aacf0e84be8081216b6a1d959912769400b1a818

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cc8f4ecae30ddd91cc2815339c425143b700bed622aef3f03fd5a877427e2d1c",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2026-07-09T13:13:09Z",
    "title_canon_sha256": "44eb57307e8c421ef17e2a028dcc18bfb094fc6cba9c6bed42b7f4b2d0b113ad"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.08450",
    "kind": "arxiv",
    "version": 1
  }
}