Pith Number

pith:KYKCRZQI

pith:2022:KYKCRZQIX6BOY7ZFUF2BJZLBCM

not attested not anchored not stored refs pending

An elementary proof of the Voros connection formula for WKB solutions to the Airy equation with a large parameter

Shofu Uchida, Takao Suzuki, Takashi Aoki

arxiv:2205.02988 v1 · 2022-05-06 · math.CA · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KYKCRZQIX6BOY7ZFUF2BJZLBCM}

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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.

Cited by

1 paper in Pith

Exact WKB analysis for dynamical and geometric exponents in generalized and nonlinear Landau-Zener transitions

Receipt and verification

First computed	2026-07-05T04:20:47.158035Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

561428e608bf82ec7f25a17414e561130ef4f9b17dfafb54606a891ad9eefd6e

Aliases

arxiv: 2205.02988 · arxiv_version: 2205.02988v1 · doi: 10.48550/arxiv.2205.02988 · pith_short_12: KYKCRZQIX6BO · pith_short_16: KYKCRZQIX6BOY7ZF · pith_short_8: KYKCRZQI

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/KYKCRZQIX6BOY7ZFUF2BJZLBCM \
  | 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: 561428e608bf82ec7f25a17414e561130ef4f9b17dfafb54606a891ad9eefd6e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "336eeab036175f6fe845dc424b61ce6d6739f22363e83a2fb3bfcf91294ebae1",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2022-05-06T02:43:31Z",
    "title_canon_sha256": "d8486bf636363f6524b8644215f8e6348b9195d2d4686eaf51f21b4baadc88d8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2205.02988",
    "kind": "arxiv",
    "version": 1
  }
}