Pith Number

pith:OQELYKTJ

pith:2016:OQELYKTJP7EOXRRVDV3D3S7NRZ

not attested not anchored not stored refs pending

Finite Codimensional Controllability for Evolution Equations

Qi Lu, Xu Liu, Xu Zhang

arxiv:1612.05704 v1 · 2016-12-17 · 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{OQELYKTJP7EOXRRVDV3D3S7NRZ}

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	2026-05-18T00:54:46.922784Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7408bc2a697fc8ebc6351d763dcbed8e4379ea01ef3c1cb0b264f6d86862aaa8

Aliases

arxiv: 1612.05704 · arxiv_version: 1612.05704v1 · doi: 10.48550/arxiv.1612.05704 · pith_short_12: OQELYKTJP7EO · pith_short_16: OQELYKTJP7EOXRRV · pith_short_8: OQELYKTJ

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/OQELYKTJP7EOXRRVDV3D3S7NRZ \
  | 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: 7408bc2a697fc8ebc6351d763dcbed8e4379ea01ef3c1cb0b264f6d86862aaa8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "533418c9582b28284323e7b1223b418944c21348ba5605fa7c9c980b999db93c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2016-12-17T03:58:38Z",
    "title_canon_sha256": "e1d7736fd7e9c5614d1f449f3768aa4a4ad4e928659c19c5ba00a6e48613d509"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.05704",
    "kind": "arxiv",
    "version": 1
  }
}