pith. sign in
Pith Number

pith:UGKFHDSP

pith:2026:UGKFHDSPBHRM3FRKAT2ZRJOA3J
not attested not anchored not stored refs pending

WKB Spectral Asymptotics for a One-Dimensional Dirac Operator with a Slowly Varying Mass Profile

Alexander B. Watson, Owen Sutton

arxiv:2605.27592 v1 · 2026-05-26 · math-ph · math.MP

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{UGKFHDSPBHRM3FRKAT2ZRJOA3J}

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 2026-05-28T01:04:17.177648Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

a194538e4f09e2cd962a04f598a5c0da7bf1a8ed8f1b9171068dbe4fae18686a

Aliases

arxiv: 2605.27592 · arxiv_version: 2605.27592v1 · doi: 10.48550/arxiv.2605.27592 · pith_short_12: UGKFHDSPBHRM · pith_short_16: UGKFHDSPBHRM3FRK · pith_short_8: UGKFHDSP
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/UGKFHDSPBHRM3FRKAT2ZRJOA3J \
  | 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: a194538e4f09e2cd962a04f598a5c0da7bf1a8ed8f1b9171068dbe4fae18686a
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "5a9b0dee2d781a9bfddaba99a720d648f0698488c477a68410e3f3999b2550dd",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2026-05-26T19:05:41Z",
    "title_canon_sha256": "787ecc99b829ea11b7e4c3468b08eb83ed5beab6e0e03636b6dcf32684f04f99"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.27592",
    "kind": "arxiv",
    "version": 1
  }
}