Pith Number

pith:GUPNM4JG

pith:2018:GUPNM4JGU7SK6NFU7F36TM6EJK

not attested not anchored not stored refs pending

Approximating the nearest stable discrete-time system

Michael Karow, Nicolas Gillis, Punit Sharma

arxiv:1802.08033 v3 · 2018-02-22 · math.OC · math.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GUPNM4JGU7SK6NFU7F36TM6EJK}

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	2026-05-17T23:49:59.722072Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

351ed67126a7e4af34b4f977e9b3c44ab29e37fffb9f2b7b80dccaad4be437a7

Aliases

arxiv: 1802.08033 · arxiv_version: 1802.08033v3 · doi: 10.48550/arxiv.1802.08033 · pith_short_12: GUPNM4JGU7SK · pith_short_16: GUPNM4JGU7SK6NFU · pith_short_8: GUPNM4JG

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/GUPNM4JGU7SK6NFU7F36TM6EJK \
  | 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: 351ed67126a7e4af34b4f977e9b3c44ab29e37fffb9f2b7b80dccaad4be437a7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4d55791cc63b842104207ee425d295ce87513bcba54dc2cf491eabdf4e70aaaa",
    "cross_cats_sorted": [
      "math.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2018-02-22T13:29:48Z",
    "title_canon_sha256": "2770391b42c7bf4c26027332733e3fe50250830970f04b41eaf785347a92305c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1802.08033",
    "kind": "arxiv",
    "version": 3
  }
}