Pith Number

pith:6HAOEF37

pith:2011:6HAOEF37UF63T6YXTQK2IW66OO

not attested not anchored not stored refs pending

On $q-$Gevrey asymptotics for singularly perturbed $q-$difference-differential problems with an irregular singularity

Alberto Lastra, St\'ephane Malek

arxiv:1106.0401 v2 · 2011-06-02 · 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{6HAOEF37UF63T6YXTQK2IW66OO}

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	2026-05-18T04:07:29.184031Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f1c0e2177fa17db9fb179c15a45bde73a5ed46b2ad0422e01efcca5f9015e7bc

Aliases

arxiv: 1106.0401 · arxiv_version: 1106.0401v2 · doi: 10.48550/arxiv.1106.0401 · pith_short_12: 6HAOEF37UF63 · pith_short_16: 6HAOEF37UF63T6YX · pith_short_8: 6HAOEF37

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/6HAOEF37UF63T6YXTQK2IW66OO \
  | 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: f1c0e2177fa17db9fb179c15a45bde73a5ed46b2ad0422e01efcca5f9015e7bc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "21c5dc441546c172ac3a88f66ae473d19c11de1f8fdee3699b1d088a9737b07d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2011-06-02T10:57:59Z",
    "title_canon_sha256": "c30345b40a59841aeb3f5e65910132d84a0d29908dd027760ce31f8e00a8fd6d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.0401",
    "kind": "arxiv",
    "version": 2
  }
}