Pith Number

pith:WVYTVTNK

pith:2026:WVYTVTNKBE2EVNQ3BW6LBY2X7H

not attested not anchored not stored refs pending

Perturbation Theory for Time-dependent Singular Quantum Systems

Fatih Erman, Kaya G\"uven Akba\c{s}, O. Teoman Turgut

arxiv:2608.08108 v1 · 2026-08-08 · 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{WVYTVTNKBE2EVNQ3BW6LBY2X7H}

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	2026-08-11T01:21:42.873489Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b5713acdaa09344ab61b0dbcb0e357f9fb202914c923382844f8d71947c95d75

Aliases

arxiv: 2608.08108 · arxiv_version: 2608.08108v1 · doi: 10.48550/arxiv.2608.08108 · pith_short_12: WVYTVTNKBE2E · pith_short_16: WVYTVTNKBE2EVNQ3 · pith_short_8: WVYTVTNK

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/WVYTVTNKBE2EVNQ3BW6LBY2X7H \
  | 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: b5713acdaa09344ab61b0dbcb0e357f9fb202914c923382844f8d71947c95d75

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d67c9f7966dbdfb2e4a4632373ddc59d0431fae45dfc9e12693e45fdf6fde3e8",
    "cross_cats_sorted": [
      "math.MP",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2026-08-08T12:44:47Z",
    "title_canon_sha256": "290912f083f63d5885d1236e63eb726619f5e3ea2ccadc4ea23518308ef7f6a7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.08108",
    "kind": "arxiv",
    "version": 1
  }
}