Pith Number

pith:JGCE6EST

pith:2026:JGCE6ESTQGL3GRRJYAD57UIM5N

not attested not anchored not stored refs pending

Generic Spectral Determination of Semiclassical Schr\"odinger Operators with $\mathbb Z_2$-Symmetry

Qiaoling Wei

arxiv:2608.11111 v1 · 2026-08-11 · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JGCE6ESTQGL3GRRJYAD57UIM5N}

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	2026-08-12T01:24:37.661482Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

49844f12538197b34629c007dfd10ceb442297f98107573076f69645b3f123f6

Aliases

arxiv: 2608.11111 · arxiv_version: 2608.11111v1 · doi: 10.48550/arxiv.2608.11111 · pith_short_12: JGCE6ESTQGL3 · pith_short_16: JGCE6ESTQGL3GRRJ · pith_short_8: JGCE6EST

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/JGCE6ESTQGL3GRRJYAD57UIM5N \
  | 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: 49844f12538197b34629c007dfd10ceb442297f98107573076f69645b3f123f6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6571baac36f0ea6456d9bd2db66a3fdd823cb37c3f793a827a129891e4816f1e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2026-08-11T16:20:24Z",
    "title_canon_sha256": "83ce97c713194c94e6bd5825c80f50b348b3c920b8b9062b57e2fc6894ff3d06"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.11111",
    "kind": "arxiv",
    "version": 1
  }
}