Pith Number

pith:TXY3WVQX

pith:2011:TXY3WVQXALUIGAHNMKN7RG2ZNX

not attested not anchored not stored refs pending

Carleman Estimates and null controllability of coupled degenerate systems

A. Hajjaj, E. M. Ait Ben Hassi, F. Ammar Khodja, L. Maniar

arxiv:1111.3665 v1 · 2011-11-15 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TXY3WVQXALUIGAHNMKN7RG2ZNX}

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	2026-05-18T04:08:13.745956Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9df1bb561702e88300ed629bf89b596ddf178c9f37a6682a4956a9128b357a59

Aliases

arxiv: 1111.3665 · arxiv_version: 1111.3665v1 · doi: 10.48550/arxiv.1111.3665 · pith_short_12: TXY3WVQXALUI · pith_short_16: TXY3WVQXALUIGAHN · pith_short_8: TXY3WVQX

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/TXY3WVQXALUIGAHNMKN7RG2ZNX \
  | 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: 9df1bb561702e88300ed629bf89b596ddf178c9f37a6682a4956a9128b357a59

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "47eec9eaac6716ec2713689e806157a22fe74a294015008e9686fa478bd4e4c1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2011-11-15T21:40:26Z",
    "title_canon_sha256": "0c1f85c20694e232785c9aee9ef8b49409836cc53361903437ba6257c0abebff"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.3665",
    "kind": "arxiv",
    "version": 1
  }
}