Pith Number

pith:JSW6R7KI

pith:2019:JSW6R7KIZL3THOG4QUMQM5JZUY

not attested not anchored not stored refs pending

Invariant subspaces of biconfluent Heun operators and special solutions of Painlev\'e IV

Chun-Kong Law, Guo-Fu Yu, Yik-Man Chiang

arxiv:1905.10046 v1 · 2019-05-24 · math.CA · math-ph · math.MP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JSW6R7KIZL3THOG4QUMQM5JZUY}

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	2026-05-17T23:45:11.580959Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4cade8fd48caf733b8dc8519067539a62ebd8eeed21f58bc416fbd5e16ca283f

Aliases

arxiv: 1905.10046 · arxiv_version: 1905.10046v1 · doi: 10.48550/arxiv.1905.10046 · pith_short_12: JSW6R7KIZL3T · pith_short_16: JSW6R7KIZL3THOG4 · pith_short_8: JSW6R7KI

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/JSW6R7KIZL3THOG4QUMQM5JZUY \
  | 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: 4cade8fd48caf733b8dc8519067539a62ebd8eeed21f58bc416fbd5e16ca283f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9fc34b6028e9abc606bf9b7f69e63e17ef1ca87292442e5672aace22b51ea298",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2019-05-24T06:07:50Z",
    "title_canon_sha256": "b800a80a1548088683235d00d2856bffb11e0aca6161332eb245e9f076cb0395"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1905.10046",
    "kind": "arxiv",
    "version": 1
  }
}