Pith Number

pith:FVC4H25R

pith:2019:FVC4H25RA7MHCSPB7KHYFOZMBB

not attested not anchored not stored refs pending

On integrals of the tronqu\'{e}e solutions and the associated Hamiltonians for the Painlev\'{e} II equation

Dan Dai, Lun Zhang, Shuai-Xia Xu

arxiv:1908.01532 v2 · 2019-08-05 · math-ph · math.CA · math.MP

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FVC4H25RA7MHCSPB7KHYFOZMBB}

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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	2026-07-05T00:37:46.616388Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2d45c3ebb107d87149e1fa8f82bb2c085f9747955eeb9cc52b49b84b5e6d53da

Aliases

arxiv: 1908.01532 · arxiv_version: 1908.01532v2 · doi: 10.48550/arxiv.1908.01532 · pith_short_12: FVC4H25RA7MH · pith_short_16: FVC4H25RA7MHCSPB · pith_short_8: FVC4H25R

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/FVC4H25RA7MHCSPB7KHYFOZMBB \
  | 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: 2d45c3ebb107d87149e1fa8f82bb2c085f9747955eeb9cc52b49b84b5e6d53da

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e69b46edc72c2183cccd0d441e58f0a61e6fcae52a1ca9739f32a71d916e2789",
    "cross_cats_sorted": [
      "math.CA",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2019-08-05T09:30:47Z",
    "title_canon_sha256": "ced6303dcd705508fd582ef5688c481b0855599e2e89f2330996b06be522efed"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.01532",
    "kind": "arxiv",
    "version": 2
  }
}