Pith Number

pith:JLW2MRE7

pith:2016:JLW2MRE7MY455A5CXPZAPNSSAJ

not attested not anchored not stored refs pending

Relative controllability of linear difference equations

Guilherme Mazanti

arxiv:1604.08663 v2 · 2016-04-29 · 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{JLW2MRE7MY455A5CXPZAPNSSAJ}

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	2026-05-18T00:31:59.672661Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4aeda6449f6639de83a2bbf207b6520264b3db312c68203c58ed3e0a5a7e3eba

Aliases

arxiv: 1604.08663 · arxiv_version: 1604.08663v2 · doi: 10.48550/arxiv.1604.08663 · pith_short_12: JLW2MRE7MY45 · pith_short_16: JLW2MRE7MY455A5C · pith_short_8: JLW2MRE7

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/JLW2MRE7MY455A5CXPZAPNSSAJ \
  | 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: 4aeda6449f6639de83a2bbf207b6520264b3db312c68203c58ed3e0a5a7e3eba

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "846f564a9e1667194c04783ad0535e4e77a954b9c162ce2badd08dc06b895712",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2016-04-29T01:12:38Z",
    "title_canon_sha256": "957ce7a21667d9671a3a48696918026472d140f236b2dae2f9d41d2ede7c3ed0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.08663",
    "kind": "arxiv",
    "version": 2
  }
}