Pith Number

pith:IOPK3RMN

pith:2009:IOPK3RMNAX24X7ZQENSM7ZVQTK

not attested not anchored not stored refs pending

A Reduced Form for Linear Differential Systems and its Application to Integrability of Hamiltonian Systems

Ainhoa Aparicio Monforte, Jacques-Arthur Weil

arxiv:0912.3538 v3 · 2009-12-17 · math.CA · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IOPK3RMNAX24X7ZQENSM7ZVQTK}

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	2026-05-18T04:13:16.225255Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

439eadc58d05f5cbff302364cfe6b09a9ba63ecccdd58292b1053713348696ef

Aliases

arxiv: 0912.3538 · arxiv_version: 0912.3538v3 · doi: 10.48550/arxiv.0912.3538 · pith_short_12: IOPK3RMNAX24 · pith_short_16: IOPK3RMNAX24X7ZQ · pith_short_8: IOPK3RMN

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/IOPK3RMNAX24X7ZQENSM7ZVQTK \
  | 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: 439eadc58d05f5cbff302364cfe6b09a9ba63ecccdd58292b1053713348696ef

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "478d34c44d65511b5a181c51d732841d8db13980ca7907b055d2e9273c596cd4",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2009-12-17T21:46:11Z",
    "title_canon_sha256": "d0e3c85f5503b3f6dc7c63f9072efe5cc8a715b1b26f3e93b52f0ac6583e0b96"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0912.3538",
    "kind": "arxiv",
    "version": 3
  }
}