Pith Number

pith:OVQ24KTI

pith:2016:OVQ24KTI7RW56D5GZXWJZNFRM3

not attested not anchored not stored refs pending

On the construction of Lyapunov functions with computer assistance

Kaname Matsue, Nobito Yamamoto, Tomohiro Hiwaki

arxiv:1604.05953 v1 · 2016-04-20 · math.NA · 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{OVQ24KTI7RW56D5GZXWJZNFRM3}

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	2026-05-18T01:16:34.118837Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7561ae2a68fc6ddf0fa6cdec9cb4b166f5adf82e6a041108f2f5eea00d3b30a3

Aliases

arxiv: 1604.05953 · arxiv_version: 1604.05953v1 · doi: 10.48550/arxiv.1604.05953 · pith_short_12: OVQ24KTI7RW5 · pith_short_16: OVQ24KTI7RW56D5G · pith_short_8: OVQ24KTI

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/OVQ24KTI7RW56D5GZXWJZNFRM3 \
  | 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: 7561ae2a68fc6ddf0fa6cdec9cb4b166f5adf82e6a041108f2f5eea00d3b30a3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1cbbfa51970d5293bcd7d31e78ae64c63ec5f3b19949c435eee7815263bdf04b",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2016-04-20T13:34:54Z",
    "title_canon_sha256": "139b3248b836c1ea1340b7ed9af64527db795deeec2be6d7901574c045cb64c2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.05953",
    "kind": "arxiv",
    "version": 1
  }
}