Pith Number

pith:ZN7TSU3M

pith:2018:ZN7TSU3M47ZICELCRO5UZFKYYL

not attested not anchored not stored refs pending

Large $z$ Asymptotics for Special Function Solutions of Painlev\'e II in the Complex Plane

Alfredo Dea\~no

arxiv:1804.00563 v4 · 2018-04-02 · 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{ZN7TSU3M47ZICELCRO5UZFKYYL}

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	2026-05-18T00:04:13.068489Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cb7f39536ce7f28111628bbb4c9558c2c0999b4986abe803f2dc7bd25f6f7ee0

Aliases

arxiv: 1804.00563 · arxiv_version: 1804.00563v4 · doi: 10.48550/arxiv.1804.00563 · pith_short_12: ZN7TSU3M47ZI · pith_short_16: ZN7TSU3M47ZICELC · pith_short_8: ZN7TSU3M

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/ZN7TSU3M47ZICELCRO5UZFKYYL \
  | 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: cb7f39536ce7f28111628bbb4c9558c2c0999b4986abe803f2dc7bd25f6f7ee0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d0d520eb64dd5a307b2ce2cffe931c841c1b638e0cd3d5c43a103d0d9625abc7",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-sa/4.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2018-04-02T14:37:43Z",
    "title_canon_sha256": "6d48a3ac26e69ff55ddd964a84326fa21925d756134f3f3905b8151ea86d5477"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1804.00563",
    "kind": "arxiv",
    "version": 4
  }
}