Pith Number

pith:ZG4C3OBD

pith:2025:ZG4C3OBDGFRXD5ASB46Z6IGQJL

not attested not anchored not stored refs pending

Classification of the real Painlev\'{e} I transcendents by zeros and connection problem: an asymptotic study

Wen-Gao Long, Yan Huang, Yu-Tian Li

arxiv:2506.03648 v1 · 2025-06-04 · 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{ZG4C3OBDGFRXD5ASB46Z6IGQJL}

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	2026-07-05T11:15:49.343206Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c9b82db823316371f4120f3d9f20d04afe1fd42a31036d95445a9b07a8a73c93

Aliases

arxiv: 2506.03648 · arxiv_version: 2506.03648v1 · doi: 10.48550/arxiv.2506.03648 · pith_short_12: ZG4C3OBDGFRX · pith_short_16: ZG4C3OBDGFRXD5AS · pith_short_8: ZG4C3OBD

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/ZG4C3OBDGFRXD5ASB46Z6IGQJL \
  | 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: c9b82db823316371f4120f3d9f20d04afe1fd42a31036d95445a9b07a8a73c93

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aab241c7dfb73c99b5a323e6db6816a47173923062500d0e896d4e495f973a02",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2025-06-04T07:42:19Z",
    "title_canon_sha256": "e271d7ff54a5f2addfc9a0b636e52e89abf4542240f0ab3077ca535e3565c279"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.03648",
    "kind": "arxiv",
    "version": 1
  }
}