Pith Number

pith:L32KGZSP

pith:2011:L32KGZSPAIL6I5CGTBH7ZLONZJ

not attested not anchored not stored refs pending

Fredholm determinants and pole-free solutions to the noncommutative Painleve' II equation

M. Bertola, M. Cafasso

arxiv:1101.3997 v1 · 2011-01-20 · math-ph · 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{L32KGZSPAIL6I5CGTBH7ZLONZJ}

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	2026-05-18T03:21:45.883143Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5ef4a3664f0217e47446984ffcadcdca5d8cc503b93a5a01ccb4505f909865da

Aliases

arxiv: 1101.3997 · arxiv_version: 1101.3997v1 · doi: 10.48550/arxiv.1101.3997 · pith_short_12: L32KGZSPAIL6 · pith_short_16: L32KGZSPAIL6I5CG · pith_short_8: L32KGZSP

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/L32KGZSPAIL6I5CGTBH7ZLONZJ \
  | 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: 5ef4a3664f0217e47446984ffcadcdca5d8cc503b93a5a01ccb4505f909865da

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f009d1192e51c1b72e964c761d10863be089f328ac68316667076bb744b0773c",
    "cross_cats_sorted": [
      "math.MP",
      "nlin.SI"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2011-01-20T19:24:32Z",
    "title_canon_sha256": "766ddf7518f4db3619cf97cdf4937f97a0dc868209c030a51754e3fba4b1e473"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.3997",
    "kind": "arxiv",
    "version": 1
  }
}