Pith Number

pith:QA63ULIL

pith:2012:QA63ULILLPGOURMVUOJ2JB545N

not attested not anchored not stored refs pending

Cooperative irreducible systems of ordinary differential equations with first integral

Janusz Mierczy\'nski

arxiv:1208.4697 v1 · 2012-08-23 · 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{QA63ULILLPGOURMVUOJ2JB545N}

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	2026-05-18T03:47:52.426737Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

803dba2d0b5bccea4595a393a487bceb770322b305266324e8a5411409eb3ba5

Aliases

arxiv: 1208.4697 · arxiv_version: 1208.4697v1 · doi: 10.48550/arxiv.1208.4697 · pith_short_12: QA63ULILLPGO · pith_short_16: QA63ULILLPGOURMV · pith_short_8: QA63ULIL

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/QA63ULILLPGOURMVUOJ2JB545N \
  | 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: 803dba2d0b5bccea4595a393a487bceb770322b305266324e8a5411409eb3ba5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b5ef72b2e5e5fa77d3618843d098719ff411d4f759452962dbd0563af5ebf84f",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2012-08-23T09:18:39Z",
    "title_canon_sha256": "b9e8aee28daeb8ae3609fbcc2fd81f73fc01f8c8ccdfe5d77ffded2a124f756a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.4697",
    "kind": "arxiv",
    "version": 1
  }
}