Pith Number

pith:TAK32QLX

pith:2018:TAK32QLXENS34WCP3J35MGBP4L

not attested not anchored not stored refs pending

Rational Solutions of the Painlev\'e-III Equation: Large Parameter Asymptotics

Peter D. Miller, Thomas Bothner

arxiv:1808.01421 v1 · 2018-08-04 · math.CA · math-ph · math.CV · math.MP · nlin.SI

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TAK32QLXENS34WCP3J35MGBP4L}

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	2026-05-18T00:08:53.043264Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9815bd41772365be584fda77d6182fe2ed8d6172588b539a6146a6e85e774598

Aliases

arxiv: 1808.01421 · arxiv_version: 1808.01421v1 · doi: 10.48550/arxiv.1808.01421 · pith_short_12: TAK32QLXENS3 · pith_short_16: TAK32QLXENS34WCP · pith_short_8: TAK32QLX

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/TAK32QLXENS34WCP3J35MGBP4L \
  | 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: 9815bd41772365be584fda77d6182fe2ed8d6172588b539a6146a6e85e774598

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bf3915576b005e8ac72a35ea0b1b8b1fa631e7a3905f4b9676f4c94a07242b29",
    "cross_cats_sorted": [
      "math-ph",
      "math.CV",
      "math.MP",
      "nlin.SI"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2018-08-04T04:15:30Z",
    "title_canon_sha256": "e35284150e3bdfe127e974508d1e4f1610ecd39b5c58e4198d9bdec84fa8b1c5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.01421",
    "kind": "arxiv",
    "version": 1
  }
}