Pith Number

pith:T7PIO57E

pith:2018:T7PIO57EZ4W27VGRKCGEZZ7TIW

not attested not anchored not stored refs pending

The Calogero-Fran\c{c}oise integrable system: algebraic geometry, Higgs fields, and the inverse problem

Jacek Szmigielski, Steven Rayan, Thomas Stanley

arxiv:1809.06513 v3 · 2018-09-18 · math-ph · math.AG · 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{T7PIO57EZ4W27VGRKCGEZZ7TIW}

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	2026-07-05T00:52:14.010220Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9fde8777e4cf2dafd4d1508c4ce7f3459f4195831849df4162614e74b0fc766e

Aliases

arxiv: 1809.06513 · arxiv_version: 1809.06513v3 · doi: 10.48550/arxiv.1809.06513 · pith_short_12: T7PIO57EZ4W2 · pith_short_16: T7PIO57EZ4W27VGR · pith_short_8: T7PIO57E

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/T7PIO57EZ4W27VGRKCGEZZ7TIW \
  | 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: 9fde8777e4cf2dafd4d1508c4ce7f3459f4195831849df4162614e74b0fc766e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a0957c8d0d1d4067a6bc0d3b6d6b746dd2ca89dcbac6470ab569889432ad04ea",
    "cross_cats_sorted": [
      "math.AG",
      "math.MP",
      "nlin.SI"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2018-09-18T03:04:34Z",
    "title_canon_sha256": "cad4aab4edc64a54b634e4ceb56ea957ad3547f6115563db3e786099da25abe7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1809.06513",
    "kind": "arxiv",
    "version": 3
  }
}