Pith Number

pith:4GINMPTH

pith:2013:4GINMPTHP2GOTBUZBM2MHC5ER5

not attested not anchored not stored refs pending

A simple proof of monotonicity for linear cooperative systems of ODEs

Janusz Mierczy\'nski

arxiv:1304.6562 v1 · 2013-04-24 · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4GINMPTHP2GOTBUZBM2MHC5ER5}

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	2026-05-18T03:27:12.741386Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e190d63e677e8ce986990b34c38ba48f742e6a30fd0b613c7a5c0a5fa952540c

Aliases

arxiv: 1304.6562 · arxiv_version: 1304.6562v1 · doi: 10.48550/arxiv.1304.6562 · pith_short_12: 4GINMPTHP2GO · pith_short_16: 4GINMPTHP2GOTBUZ · pith_short_8: 4GINMPTH

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/4GINMPTHP2GOTBUZBM2MHC5ER5 \
  | 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: e190d63e677e8ce986990b34c38ba48f742e6a30fd0b613c7a5c0a5fa952540c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5718bfbb0c9fe7efd4b890e39ab30f6d5f7c586433c63db2050a4c941f3d6fcc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2013-04-24T12:29:26Z",
    "title_canon_sha256": "7076072b5aa73d1ff30f386071a5589636388a6fb45f7977c717a3c0500898cc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.6562",
    "kind": "arxiv",
    "version": 1
  }
}