Pith Number

pith:3GVPYIAW

pith:2021:3GVPYIAWPV55V7MC5D3RREN23V

not attested not anchored not stored refs pending

Voros Coefficients at the Origin and at the Infinity of the Generalized Hypergeometric Differential Equations with a Large Parameter

Shofu Uchida, Takashi Aoki

arxiv:2104.13751 v3 · 2021-04-28 · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3GVPYIAWPV55V7MC5D3RREN23V}

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.

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	2026-07-05T03:44:53.287540Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d9aafc20167d7bdafd82e8f71891badd7be8c6f8941f3d23b2041fca05523177

Aliases

arxiv: 2104.13751 · arxiv_version: 2104.13751v3 · doi: 10.48550/arxiv.2104.13751 · pith_short_12: 3GVPYIAWPV55 · pith_short_16: 3GVPYIAWPV55V7MC · pith_short_8: 3GVPYIAW

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/3GVPYIAWPV55V7MC5D3RREN23V \
  | 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: d9aafc20167d7bdafd82e8f71891badd7be8c6f8941f3d23b2041fca05523177

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ced4052be7f310cf623a1105534e8f91c6be89d092fa29257f62eca5edaf5ca8",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-sa/4.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2021-04-28T13:31:16Z",
    "title_canon_sha256": "700d0f0f60df2d2142fc62f59ce2f64326251c7e49b47b139d40492d2e04a0ab"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2104.13751",
    "kind": "arxiv",
    "version": 3
  }
}