Pith Number

pith:2LMA3YSB

pith:2009:2LMA3YSBISW3YPYXMM3AL75WXN

not attested not anchored not stored refs pending

Criteria for the stability of the finiteness property and for the uniqueness of Barabanov norms

Ian D. Morris

arxiv:0909.2800 v1 · 2009-09-15 · math.RA · cs.NA · 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{2LMA3YSBISW3YPYXMM3AL75WXN}

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	2026-06-03T23:06:28.983694Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d2d80de24144adbc3f17633605ffb6bb513ca304d9a4a40dccaa4753e361916d

Aliases

arxiv: 0909.2800 · arxiv_version: 0909.2800v1 · doi: 10.48550/arxiv.0909.2800 · pith_short_12: 2LMA3YSBISW3 · pith_short_16: 2LMA3YSBISW3YPYX · pith_short_8: 2LMA3YSB

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/2LMA3YSBISW3YPYXMM3AL75WXN \
  | 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: d2d80de24144adbc3f17633605ffb6bb513ca304d9a4a40dccaa4753e361916d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "67dc0d56770b337eabccf9eb20998a50be1693f236ec24535d04511085e94878",
    "cross_cats_sorted": [
      "cs.NA",
      "math.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2009-09-15T13:45:25Z",
    "title_canon_sha256": "843bcd0e6a7f1777122d62c6f93d060aa721fed01657d9a568dc51cdd5556232"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0909.2800",
    "kind": "arxiv",
    "version": 1
  }
}