Pith Number

pith:7PUHQXBT

pith:2017:7PUHQXBT2RQD236L4XQRPOGD2T

not attested not anchored not stored refs pending

Multiscale Gevrey asymptotics in boundary layer expansions for some initial value problem with merging turning points

Alberto Lastra, St\'ephane Malek

arxiv:1707.02323 v1 · 2017-07-07 · 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{7PUHQXBT2RQD236L4XQRPOGD2T}

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	2026-05-18T00:40:39.519917Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fbe8785c33d4603d6fcbe5e117b8c3d4cbce32a8a498fa69157f08efe5c87f6c

Aliases

arxiv: 1707.02323 · arxiv_version: 1707.02323v1 · doi: 10.48550/arxiv.1707.02323 · pith_short_12: 7PUHQXBT2RQD · pith_short_16: 7PUHQXBT2RQD236L · pith_short_8: 7PUHQXBT

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/7PUHQXBT2RQD236L4XQRPOGD2T \
  | 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: fbe8785c33d4603d6fcbe5e117b8c3d4cbce32a8a498fa69157f08efe5c87f6c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4c7859c1ae75f56f2954e942531ee726acc221d67e18604d9da5380df8df52d9",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2017-07-07T18:26:56Z",
    "title_canon_sha256": "f5b69f4bdb50dc38e051e2d25ba3dc45f7a9cdb9b561701317b1cb9408a8aa2e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1707.02323",
    "kind": "arxiv",
    "version": 1
  }
}