Pith Number

pith:7BKJGYIZ

pith:2013:7BKJGYIZ52E62I5WOS7XYFMUE5

not attested not anchored not stored refs pending

Classification of coupled dynamical systems with multiple delays: Finding the minimal number of delays

Jan Philipp Pade, Kolja Knauer, Leonhard L\"ucken

arxiv:1301.2051 v3 · 2013-01-10 · 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{7BKJGYIZ52E62I5WOS7XYFMUE5}

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	2026-05-18T01:21:40.908676Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f854936119ee89ed23b674bf7c1594276ee0c49bb3764e283a26bf7d5bccf10d

Aliases

arxiv: 1301.2051 · arxiv_version: 1301.2051v3 · doi: 10.48550/arxiv.1301.2051 · pith_short_12: 7BKJGYIZ52E6 · pith_short_16: 7BKJGYIZ52E62I5W · pith_short_8: 7BKJGYIZ

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/7BKJGYIZ52E62I5WOS7XYFMUE5 \
  | 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: f854936119ee89ed23b674bf7c1594276ee0c49bb3764e283a26bf7d5bccf10d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "37c92783e01514f9c5b48d04e12a1e641791b692289f103a41ee288ab95212ec",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2013-01-10T08:37:44Z",
    "title_canon_sha256": "dc9b17be4ebdac0a6a85686e951afd4880c6302cb2531f4e9c1aee902b7c48ec"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.2051",
    "kind": "arxiv",
    "version": 3
  }
}