Pith Number

pith:CYQ6XI52

pith:2012:CYQ6XI52LKN7SKLRAMG7WXEIWG

not attested not anchored not stored refs pending

The contraction rate in Thompson metric of order-preserving flows on a cone - application to generalized Riccati equations

St\'ephane Gaubert, Zheng Qu

arxiv:1206.0448 v1 · 2012-06-03 · math.MG · cs.SY · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CYQ6XI52LKN7SKLRAMG7WXEIWG}

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	2026-05-18T02:48:53.329215Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1621eba3ba5a9bf92971030dfb5c88b1bb23ef93770175638c1c06f6b34030d3

Aliases

arxiv: 1206.0448 · arxiv_version: 1206.0448v1 · doi: 10.48550/arxiv.1206.0448 · pith_short_12: CYQ6XI52LKN7 · pith_short_16: CYQ6XI52LKN7SKLR · pith_short_8: CYQ6XI52

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/CYQ6XI52LKN7SKLRAMG7WXEIWG \
  | 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: 1621eba3ba5a9bf92971030dfb5c88b1bb23ef93770175638c1c06f6b34030d3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "258c17b7584531d85c13b3164118645231ff93999f4507f76f5d28665ff184d8",
    "cross_cats_sorted": [
      "cs.SY",
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2012-06-03T14:12:55Z",
    "title_canon_sha256": "157e02835c34e773ae8a7b832fb9fe8fd0e8987ed30161b60b630e7acf2eb6b9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.0448",
    "kind": "arxiv",
    "version": 1
  }
}