Pith Number

pith:YR5APJXV

pith:2016:YR5APJXVOB7DITBJJMSIALQGPK

not attested not anchored not stored refs pending

Minimal state space realizations in Jacobson normal form

Harald Wimmer, Naoharo Ito, Wiland Schmale

arxiv:1601.00823 v1 · 2016-01-05 · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YR5APJXVOB7DITBJJMSIALQGPK}

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	2026-05-18T01:23:21.627720Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c47a07a6f5707e344c294b24802e067a8edc2836140387a603fe2986056cdabc

Aliases

arxiv: 1601.00823 · arxiv_version: 1601.00823v1 · doi: 10.48550/arxiv.1601.00823 · pith_short_12: YR5APJXVOB7D · pith_short_16: YR5APJXVOB7DITBJ · pith_short_8: YR5APJXV

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/YR5APJXVOB7DITBJJMSIALQGPK \
  | 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: c47a07a6f5707e344c294b24802e067a8edc2836140387a603fe2986056cdabc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "58cd8e24c244e5da896cfc89198f29d0819326cf450a3cfebfd1b60e929ff245",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2016-01-05T13:41:36Z",
    "title_canon_sha256": "3fde2a2536e8daca5af6326d10e02d030feb17366a9a84008563dc6b79e8729c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.00823",
    "kind": "arxiv",
    "version": 1
  }
}