Pith Number

pith:V3OM34IF

pith:2025:V3OM34IFXR33HDXVOHWHOW7QAQ

not attested not anchored not stored refs pending

Parametric formal Gevrey asymptotic expansions in two complex time variable problems

Alberto Lastra, Guoting Chen, Stephane Malek

arxiv:2506.00916 v1 · 2025-06-01 · math.CV · 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{V3OM34IFXR33HDXVOHWHOW7QAQ}

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	2026-07-05T11:13:42.782295Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aedccdf105bc77b38ef571ec775bf00411420ae9dffb72119fb89f7ed95dfad1

Aliases

arxiv: 2506.00916 · arxiv_version: 2506.00916v1 · doi: 10.48550/arxiv.2506.00916 · pith_short_12: V3OM34IFXR33 · pith_short_16: V3OM34IFXR33HDXV · pith_short_8: V3OM34IF

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/V3OM34IFXR33HDXVOHWHOW7QAQ \
  | 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: aedccdf105bc77b38ef571ec775bf00411420ae9dffb72119fb89f7ed95dfad1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a3310cd4a85efdff29cb621f3e6325768ed049bbd9d7c47aeea1a8a3eeadc0a9",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2025-06-01T09:04:46Z",
    "title_canon_sha256": "94bc4a6dd7ba35e3269a29f63e376a8ff7e6fb9ab77d67bd2756b2258dace219"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.00916",
    "kind": "arxiv",
    "version": 1
  }
}