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Pith Number

pith:VBCP4J3U

pith:2017:VBCP4J3U4PX3VBUIRIMINO4OBH
not attested not anchored not stored refs pending

Partial null controllability of parabolic linear systems

Farid Ammar Khodja, Franz Chouly, Michel Duprez

arxiv:1701.05483 v1 · 2017-01-19 · math.AP

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{VBCP4J3U4PX3VBUIRIMINO4OBH}

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 2026-05-18T00:52:29.740970Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

a844fe2774e3efba86888a1886bb8e09c017e4112276dbd2ba235982790774bf

Aliases

arxiv: 1701.05483 · arxiv_version: 1701.05483v1 · doi: 10.48550/arxiv.1701.05483 · pith_short_12: VBCP4J3U4PX3 · pith_short_16: VBCP4J3U4PX3VBUI · pith_short_8: VBCP4J3U
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/VBCP4J3U4PX3VBUIRIMINO4OBH \
  | 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: a844fe2774e3efba86888a1886bb8e09c017e4112276dbd2ba235982790774bf
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "8456076a2a5b0fa4215ad79e293a44ecb286366ef055d2126dfbf852e8525566",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2017-01-19T15:44:41Z",
    "title_canon_sha256": "8ce2f47baab26365270ac813bb25e1ee1ce46172e37089e21f0642b1337ec374"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1701.05483",
    "kind": "arxiv",
    "version": 1
  }
}